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Finding the Fourth Proportional to 10,395.12, 15,589.44 and 3,468

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Solution

The fourth proportional to 10,395.12, 15,589.44 and 3,468 is: 5,200.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.12 : 15,589.44 = 3,468 : x
  2. Step 2: Convert to fraction form
    10,395.12/15,589.44 = 3,468/x
  3. Step 3: Cross multiply
    10,395.12x = 15,589.44 × 3,468
  4. Step 4: Simplify right side
    10,395.12x = 54,064,177.92
  5. Step 5: Solve for x
    x = 54,064,177.92/10,395.12
  6. Step 6: Final answer
    x = 5,200.92

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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.