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Finding the Fourth Proportional to 7,697.71, 10,627.43 and 5,049.72

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Solution

The fourth proportional to 7,697.71, 10,627.43 and 5,049.72 is: 6,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.71 : 10,627.43 = 5,049.72 : x
  2. Step 2: Convert to fraction form
    7,697.71/10,627.43 = 5,049.72/x
  3. Step 3: Cross multiply
    7,697.71x = 10,627.43 × 5,049.72
  4. Step 4: Simplify right side
    7,697.71x = 53,665,545.82
  5. Step 5: Solve for x
    x = 53,665,545.82/7,697.71
  6. Step 6: Final answer
    x = 6,971.62

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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.