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Finding the Fourth Proportional to 11,304.57, 15,599.34 and 6,589.29

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Solution

The fourth proportional to 11,304.57, 15,599.34 and 6,589.29 is: 9,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,304.57 : 15,599.34 = 6,589.29 : x
  2. Step 2: Convert to fraction form
    11,304.57/15,599.34 = 6,589.29/x
  3. Step 3: Cross multiply
    11,304.57x = 15,599.34 × 6,589.29
  4. Step 4: Simplify right side
    11,304.57x = 102,788,575.07
  5. Step 5: Solve for x
    x = 102,788,575.07/11,304.57
  6. Step 6: Final answer
    x = 9,092.66

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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.