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Finding the Fourth Proportional to 8,354.98, 12,532.44 and 3,734.74

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Solution

The fourth proportional to 8,354.98, 12,532.44 and 3,734.74 is: 5,602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.98 : 12,532.44 = 3,734.74 : x
  2. Step 2: Convert to fraction form
    8,354.98/12,532.44 = 3,734.74/x
  3. Step 3: Cross multiply
    8,354.98x = 12,532.44 × 3,734.74
  4. Step 4: Simplify right side
    8,354.98x = 46,805,404.97
  5. Step 5: Solve for x
    x = 46,805,404.97/8,354.98
  6. Step 6: Final answer
    x = 5,602.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.