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Finding the Fourth Proportional to 10,412.84, 15,613.66 and 4,562.64

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Solution

The fourth proportional to 10,412.84, 15,613.66 and 4,562.64 is: 6,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.84 : 15,613.66 = 4,562.64 : x
  2. Step 2: Convert to fraction form
    10,412.84/15,613.66 = 4,562.64/x
  3. Step 3: Cross multiply
    10,412.84x = 15,613.66 × 4,562.64
  4. Step 4: Simplify right side
    10,412.84x = 71,239,509.66
  5. Step 5: Solve for x
    x = 71,239,509.66/10,412.84
  6. Step 6: Final answer
    x = 6,841.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.