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Finding the Fourth Proportional to 7,586.68, 11,382.22 and 5,508.76

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Solution

The fourth proportional to 7,586.68, 11,382.22 and 5,508.76 is: 8,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.68 : 11,382.22 = 5,508.76 : x
  2. Step 2: Convert to fraction form
    7,586.68/11,382.22 = 5,508.76/x
  3. Step 3: Cross multiply
    7,586.68x = 11,382.22 × 5,508.76
  4. Step 4: Simplify right side
    7,586.68x = 62,701,918.25
  5. Step 5: Solve for x
    x = 62,701,918.25/7,586.68
  6. Step 6: Final answer
    x = 8,264.74

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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.