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Finding the Fourth Proportional to 7,132.52, 10,700.64 and 2,971.15

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Solution

The fourth proportional to 7,132.52, 10,700.64 and 2,971.15 is: 4,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.52 : 10,700.64 = 2,971.15 : x
  2. Step 2: Convert to fraction form
    7,132.52/10,700.64 = 2,971.15/x
  3. Step 3: Cross multiply
    7,132.52x = 10,700.64 × 2,971.15
  4. Step 4: Simplify right side
    7,132.52x = 31,793,179.78
  5. Step 5: Solve for x
    x = 31,793,179.78/7,132.52
  6. Step 6: Final answer
    x = 4,457.49

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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.