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Finding the Fourth Proportional to 10,393.43, 14,342.93 and 5,613.37

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Solution

The fourth proportional to 10,393.43, 14,342.93 and 5,613.37 is: 7,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.43 : 14,342.93 = 5,613.37 : x
  2. Step 2: Convert to fraction form
    10,393.43/14,342.93 = 5,613.37/x
  3. Step 3: Cross multiply
    10,393.43x = 14,342.93 × 5,613.37
  4. Step 4: Simplify right side
    10,393.43x = 80,512,144.91
  5. Step 5: Solve for x
    x = 80,512,144.91/10,393.43
  6. Step 6: Final answer
    x = 7,746.45

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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.