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Finding the Fourth Proportional to 10,588.25, 15,882.38 and 5,642.90

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Solution

The fourth proportional to 10,588.25, 15,882.38 and 5,642.90 is: 8,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.25 : 15,882.38 = 5,642.90 : x
  2. Step 2: Convert to fraction form
    10,588.25/15,882.38 = 5,642.90/x
  3. Step 3: Cross multiply
    10,588.25x = 15,882.38 × 5,642.90
  4. Step 4: Simplify right side
    10,588.25x = 89,622,682.10
  5. Step 5: Solve for x
    x = 89,622,682.10/10,588.25
  6. Step 6: Final answer
    x = 8,464.35

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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.