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Finding the Fourth Proportional to 5,613,967.63, 7,746,694.14 and 4,144,658.10

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Solution

The fourth proportional to 5,613,967.63, 7,746,694.14 and 4,144,658.10 is: 5,719,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613,967.63 : 7,746,694.14 = 4,144,658.10 : x
  2. Step 2: Convert to fraction form
    5,613,967.63/7,746,694.14 = 4,144,658.10/x
  3. Step 3: Cross multiply
    5,613,967.63x = 7,746,694.14 × 4,144,658.10
  4. Step 4: Simplify right side
    5,613,967.63x = 32,107,398,615,573.54
  5. Step 5: Solve for x
    x = 32,107,398,615,573.54/5,613,967.63
  6. Step 6: Final answer
    x = 5,719,199.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.