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Finding the Fourth Proportional to 10,577.63, 15,862.35 and 5,644.58

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Solution

The fourth proportional to 10,577.63, 15,862.35 and 5,644.58 is: 8,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.63 : 15,862.35 = 5,644.58 : x
  2. Step 2: Convert to fraction form
    10,577.63/15,862.35 = 5,644.58/x
  3. Step 3: Cross multiply
    10,577.63x = 15,862.35 × 5,644.58
  4. Step 4: Simplify right side
    10,577.63x = 89,536,262.57
  5. Step 5: Solve for x
    x = 89,536,262.57/10,577.63
  6. Step 6: Final answer
    x = 8,464.68

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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.