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Finding the Fourth Proportional to 10,342.84, 15,520.76 and 5,416.44

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Solution

The fourth proportional to 10,342.84, 15,520.76 and 5,416.44 is: 8,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.84 : 15,520.76 = 5,416.44 : x
  2. Step 2: Convert to fraction form
    10,342.84/15,520.76 = 5,416.44/x
  3. Step 3: Cross multiply
    10,342.84x = 15,520.76 × 5,416.44
  4. Step 4: Simplify right side
    10,342.84x = 84,067,265.29
  5. Step 5: Solve for x
    x = 84,067,265.29/10,342.84
  6. Step 6: Final answer
    x = 8,128.06

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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.