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Finding the Fourth Proportional to 10,472.08, 15,715.41 and 7,188.34

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Solution

The fourth proportional to 10,472.08, 15,715.41 and 7,188.34 is: 10,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.08 : 15,715.41 = 7,188.34 : x
  2. Step 2: Convert to fraction form
    10,472.08/15,715.41 = 7,188.34/x
  3. Step 3: Cross multiply
    10,472.08x = 15,715.41 × 7,188.34
  4. Step 4: Simplify right side
    10,472.08x = 112,967,710.32
  5. Step 5: Solve for x
    x = 112,967,710.32/10,472.08
  6. Step 6: Final answer
    x = 10,787.51

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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.