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Finding the Fourth Proportional to 7,657.29, 11,488.83 and 5,215.14

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Solution

The fourth proportional to 7,657.29, 11,488.83 and 5,215.14 is: 7,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.29 : 11,488.83 = 5,215.14 : x
  2. Step 2: Convert to fraction form
    7,657.29/11,488.83 = 5,215.14/x
  3. Step 3: Cross multiply
    7,657.29x = 11,488.83 × 5,215.14
  4. Step 4: Simplify right side
    7,657.29x = 59,915,856.89
  5. Step 5: Solve for x
    x = 59,915,856.89/7,657.29
  6. Step 6: Final answer
    x = 7,824.68

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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.