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Finding the Fourth Proportional to 10,542.70, 15,816.64 and 7,428.78

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Solution

The fourth proportional to 10,542.70, 15,816.64 and 7,428.78 is: 11,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.70 : 15,816.64 = 7,428.78 : x
  2. Step 2: Convert to fraction form
    10,542.70/15,816.64 = 7,428.78/x
  3. Step 3: Cross multiply
    10,542.70x = 15,816.64 × 7,428.78
  4. Step 4: Simplify right side
    10,542.70x = 117,498,338.90
  5. Step 5: Solve for x
    x = 117,498,338.90/10,542.70
  6. Step 6: Final answer
    x = 11,145.00

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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.