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Finding the Fourth Proportional to 8,127.76, 12,191.68 and 2,585

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Solution

The fourth proportional to 8,127.76, 12,191.68 and 2,585 is: 3,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,127.76 : 12,191.68 = 2,585 : x
  2. Step 2: Convert to fraction form
    8,127.76/12,191.68 = 2,585/x
  3. Step 3: Cross multiply
    8,127.76x = 12,191.68 × 2,585
  4. Step 4: Simplify right side
    8,127.76x = 31,515,492.80
  5. Step 5: Solve for x
    x = 31,515,492.80/8,127.76
  6. Step 6: Final answer
    x = 3,877.51

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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.