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Finding the Fourth Proportional to 10,405.88, 15,592.38 and 8,448.52

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Solution

The fourth proportional to 10,405.88, 15,592.38 and 8,448.52 is: 12,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.88 : 15,592.38 = 8,448.52 : x
  2. Step 2: Convert to fraction form
    10,405.88/15,592.38 = 8,448.52/x
  3. Step 3: Cross multiply
    10,405.88x = 15,592.38 × 8,448.52
  4. Step 4: Simplify right side
    10,405.88x = 131,732,534.28
  5. Step 5: Solve for x
    x = 131,732,534.28/10,405.88
  6. Step 6: Final answer
    x = 12,659.43

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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.