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Finding the Fourth Proportional to 10,538.98, 15,818.04 and 5,612.80

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Solution

The fourth proportional to 10,538.98, 15,818.04 and 5,612.80 is: 8,424.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.98 : 15,818.04 = 5,612.80 : x
  2. Step 2: Convert to fraction form
    10,538.98/15,818.04 = 5,612.80/x
  3. Step 3: Cross multiply
    10,538.98x = 15,818.04 × 5,612.80
  4. Step 4: Simplify right side
    10,538.98x = 88,783,494.91
  5. Step 5: Solve for x
    x = 88,783,494.91/10,538.98
  6. Step 6: Final answer
    x = 8,424.30

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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.