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Finding the Fourth Proportional to 7,657.68, 11,487.84 and 2,730.16

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Solution

The fourth proportional to 7,657.68, 11,487.84 and 2,730.16 is: 4,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.68 : 11,487.84 = 2,730.16 : x
  2. Step 2: Convert to fraction form
    7,657.68/11,487.84 = 2,730.16/x
  3. Step 3: Cross multiply
    7,657.68x = 11,487.84 × 2,730.16
  4. Step 4: Simplify right side
    7,657.68x = 31,363,641.25
  5. Step 5: Solve for x
    x = 31,363,641.25/7,657.68
  6. Step 6: Final answer
    x = 4,095.71

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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.