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Finding the Fourth Proportional to 10,006.60, 15,007.61 and 3,767.27

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Solution

The fourth proportional to 10,006.60, 15,007.61 and 3,767.27 is: 5,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.60 : 15,007.61 = 3,767.27 : x
  2. Step 2: Convert to fraction form
    10,006.60/15,007.61 = 3,767.27/x
  3. Step 3: Cross multiply
    10,006.60x = 15,007.61 × 3,767.27
  4. Step 4: Simplify right side
    10,006.60x = 56,537,653.30
  5. Step 5: Solve for x
    x = 56,537,653.30/10,006.60
  6. Step 6: Final answer
    x = 5,650.04

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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.