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Finding the Fourth Proportional to 10,572.33, 14,589.82 and 6,380.58

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Solution

The fourth proportional to 10,572.33, 14,589.82 and 6,380.58 is: 8,805.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.33 : 14,589.82 = 6,380.58 : x
  2. Step 2: Convert to fraction form
    10,572.33/14,589.82 = 6,380.58/x
  3. Step 3: Cross multiply
    10,572.33x = 14,589.82 × 6,380.58
  4. Step 4: Simplify right side
    10,572.33x = 93,091,458.42
  5. Step 5: Solve for x
    x = 93,091,458.42/10,572.33
  6. Step 6: Final answer
    x = 8,805.20

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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.