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Finding the Fourth Proportional to 7,691.56, 10,614.35 and 4,154.77

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Solution

The fourth proportional to 7,691.56, 10,614.35 and 4,154.77 is: 5,733.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.56 : 10,614.35 = 4,154.77 : x
  2. Step 2: Convert to fraction form
    7,691.56/10,614.35 = 4,154.77/x
  3. Step 3: Cross multiply
    7,691.56x = 10,614.35 × 4,154.77
  4. Step 4: Simplify right side
    7,691.56x = 44,100,146.90
  5. Step 5: Solve for x
    x = 44,100,146.90/7,691.56
  6. Step 6: Final answer
    x = 5,733.58

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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.