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Finding the Fourth Proportional to 10,589.22, 15,858.72 and 8,390.88

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Solution

The fourth proportional to 10,589.22, 15,858.72 and 8,390.88 is: 12,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.22 : 15,858.72 = 8,390.88 : x
  2. Step 2: Convert to fraction form
    10,589.22/15,858.72 = 8,390.88/x
  3. Step 3: Cross multiply
    10,589.22x = 15,858.72 × 8,390.88
  4. Step 4: Simplify right side
    10,589.22x = 133,068,616.47
  5. Step 5: Solve for x
    x = 133,068,616.47/10,589.22
  6. Step 6: Final answer
    x = 12,566.42

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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.