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Finding the Fourth Proportional to 6,971.92, 10,461.96 and 2,592.40

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Solution

The fourth proportional to 6,971.92, 10,461.96 and 2,592.40 is: 3,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.92 : 10,461.96 = 2,592.40 : x
  2. Step 2: Convert to fraction form
    6,971.92/10,461.96 = 2,592.40/x
  3. Step 3: Cross multiply
    6,971.92x = 10,461.96 × 2,592.40
  4. Step 4: Simplify right side
    6,971.92x = 27,121,585.10
  5. Step 5: Solve for x
    x = 27,121,585.10/6,971.92
  6. Step 6: Final answer
    x = 3,890.12

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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.