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Finding the Fourth Proportional to 7,691.85, 10,614.76 and 4,155.06

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Solution

The fourth proportional to 7,691.85, 10,614.76 and 4,155.06 is: 5,733.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.85 : 10,614.76 = 4,155.06 : x
  2. Step 2: Convert to fraction form
    7,691.85/10,614.76 = 4,155.06/x
  3. Step 3: Cross multiply
    7,691.85x = 10,614.76 × 4,155.06
  4. Step 4: Simplify right side
    7,691.85x = 44,104,954.30
  5. Step 5: Solve for x
    x = 44,104,954.30/7,691.85
  6. Step 6: Final answer
    x = 5,733.99

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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.