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Finding the Fourth Proportional to 7,564.92, 10,432.26 and 5,047.13

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Solution

The fourth proportional to 7,564.92, 10,432.26 and 5,047.13 is: 6,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.92 : 10,432.26 = 5,047.13 : x
  2. Step 2: Convert to fraction form
    7,564.92/10,432.26 = 5,047.13/x
  3. Step 3: Cross multiply
    7,564.92x = 10,432.26 × 5,047.13
  4. Step 4: Simplify right side
    7,564.92x = 52,652,998.49
  5. Step 5: Solve for x
    x = 52,652,998.49/7,564.92
  6. Step 6: Final answer
    x = 6,960.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.