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Finding the Fourth Proportional to 10,807.78, 16,180.14 and 6,635.15

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Solution

The fourth proportional to 10,807.78, 16,180.14 and 6,635.15 is: 9,933.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.78 : 16,180.14 = 6,635.15 : x
  2. Step 2: Convert to fraction form
    10,807.78/16,180.14 = 6,635.15/x
  3. Step 3: Cross multiply
    10,807.78x = 16,180.14 × 6,635.15
  4. Step 4: Simplify right side
    10,807.78x = 107,357,655.92
  5. Step 5: Solve for x
    x = 107,357,655.92/10,807.78
  6. Step 6: Final answer
    x = 9,933.37

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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.