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Finding the Fourth Proportional to 10,577.67, 15,862.41 and 5,644.62

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Solution

The fourth proportional to 10,577.67, 15,862.41 and 5,644.62 is: 8,464.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.67 : 15,862.41 = 5,644.62 : x
  2. Step 2: Convert to fraction form
    10,577.67/15,862.41 = 5,644.62/x
  3. Step 3: Cross multiply
    10,577.67x = 15,862.41 × 5,644.62
  4. Step 4: Simplify right side
    10,577.67x = 89,537,276.73
  5. Step 5: Solve for x
    x = 89,537,276.73/10,577.67
  6. Step 6: Final answer
    x = 8,464.74

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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.