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Finding the Fourth Proportional to 10,807.86, 16,202.55 and 4,149.14

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Solution

The fourth proportional to 10,807.86, 16,202.55 and 4,149.14 is: 6,220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.86 : 16,202.55 = 4,149.14 : x
  2. Step 2: Convert to fraction form
    10,807.86/16,202.55 = 4,149.14/x
  3. Step 3: Cross multiply
    10,807.86x = 16,202.55 × 4,149.14
  4. Step 4: Simplify right side
    10,807.86x = 67,226,648.31
  5. Step 5: Solve for x
    x = 67,226,648.31/10,807.86
  6. Step 6: Final answer
    x = 6,220.16

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