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Finding the Fourth Proportional to 10,487.44, 15,734.52 and 5,218.96

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Solution

The fourth proportional to 10,487.44, 15,734.52 and 5,218.96 is: 7,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.44 : 15,734.52 = 5,218.96 : x
  2. Step 2: Convert to fraction form
    10,487.44/15,734.52 = 5,218.96/x
  3. Step 3: Cross multiply
    10,487.44x = 15,734.52 × 5,218.96
  4. Step 4: Simplify right side
    10,487.44x = 82,117,830.50
  5. Step 5: Solve for x
    x = 82,117,830.50/10,487.44
  6. Step 6: Final answer
    x = 7,830.11

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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.