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Finding the Fourth Proportional to 7,585.44, 10,461.84 and 5,227.04

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Solution

The fourth proportional to 7,585.44, 10,461.84 and 5,227.04 is: 7,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.44 : 10,461.84 = 5,227.04 : x
  2. Step 2: Convert to fraction form
    7,585.44/10,461.84 = 5,227.04/x
  3. Step 3: Cross multiply
    7,585.44x = 10,461.84 × 5,227.04
  4. Step 4: Simplify right side
    7,585.44x = 54,684,456.15
  5. Step 5: Solve for x
    x = 54,684,456.15/7,585.44
  6. Step 6: Final answer
    x = 7,209.13

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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.