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Finding the Fourth Proportional to 10,724.16, 16,060.16 and 7,428

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Solution

The fourth proportional to 10,724.16, 16,060.16 and 7,428 is: 11,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.16 : 16,060.16 = 7,428 : x
  2. Step 2: Convert to fraction form
    10,724.16/16,060.16 = 7,428/x
  3. Step 3: Cross multiply
    10,724.16x = 16,060.16 × 7,428
  4. Step 4: Simplify right side
    10,724.16x = 119,294,868.48
  5. Step 5: Solve for x
    x = 119,294,868.48/10,724.16
  6. Step 6: Final answer
    x = 11,123.94

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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.