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Finding the Fourth Proportional to 10,572.54, 15,838.17 and 5,017.98

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Solution

The fourth proportional to 10,572.54, 15,838.17 and 5,017.98 is: 7,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.54 : 15,838.17 = 5,017.98 : x
  2. Step 2: Convert to fraction form
    10,572.54/15,838.17 = 5,017.98/x
  3. Step 3: Cross multiply
    10,572.54x = 15,838.17 × 5,017.98
  4. Step 4: Simplify right side
    10,572.54x = 79,475,620.30
  5. Step 5: Solve for x
    x = 79,475,620.30/10,572.54
  6. Step 6: Final answer
    x = 7,517.17

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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.