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Finding the Fourth Proportional to 7,691.25, 10,614.43 and 4,333.76

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Solution

The fourth proportional to 7,691.25, 10,614.43 and 4,333.76 is: 5,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.25 : 10,614.43 = 4,333.76 : x
  2. Step 2: Convert to fraction form
    7,691.25/10,614.43 = 4,333.76/x
  3. Step 3: Cross multiply
    7,691.25x = 10,614.43 × 4,333.76
  4. Step 4: Simplify right side
    7,691.25x = 46,000,392.16
  5. Step 5: Solve for x
    x = 46,000,392.16/7,691.25
  6. Step 6: Final answer
    x = 5,980.87

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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.