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Finding the Fourth Proportional to 7,687.25, 11,534.53 and 4,573.41

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Solution

The fourth proportional to 7,687.25, 11,534.53 and 4,573.41 is: 6,862.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,687.25 : 11,534.53 = 4,573.41 : x
  2. Step 2: Convert to fraction form
    7,687.25/11,534.53 = 4,573.41/x
  3. Step 3: Cross multiply
    7,687.25x = 11,534.53 × 4,573.41
  4. Step 4: Simplify right side
    7,687.25x = 52,752,129.26
  5. Step 5: Solve for x
    x = 52,752,129.26/7,687.25
  6. Step 6: Final answer
    x = 6,862.29

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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.