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Finding the Fourth Proportional to 8,627.50, 12,878.30 and 7,402.78

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Solution

The fourth proportional to 8,627.50, 12,878.30 and 7,402.78 is: 11,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.50 : 12,878.30 = 7,402.78 : x
  2. Step 2: Convert to fraction form
    8,627.50/12,878.30 = 7,402.78/x
  3. Step 3: Cross multiply
    8,627.50x = 12,878.30 × 7,402.78
  4. Step 4: Simplify right side
    8,627.50x = 95,335,221.67
  5. Step 5: Solve for x
    x = 95,335,221.67/8,627.50
  6. Step 6: Final answer
    x = 11,050.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.