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Finding the Fourth Proportional to 8,385.40, 12,578.10 and 7,445.80

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Solution

The fourth proportional to 8,385.40, 12,578.10 and 7,445.80 is: 11,168.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.40 : 12,578.10 = 7,445.80 : x
  2. Step 2: Convert to fraction form
    8,385.40/12,578.10 = 7,445.80/x
  3. Step 3: Cross multiply
    8,385.40x = 12,578.10 × 7,445.80
  4. Step 4: Simplify right side
    8,385.40x = 93,654,016.98
  5. Step 5: Solve for x
    x = 93,654,016.98/8,385.40
  6. Step 6: Final answer
    x = 11,168.70

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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.