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Finding the Fourth Proportional to 8,340.20, 12,511.70 and 2,497.40

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Solution

The fourth proportional to 8,340.20, 12,511.70 and 2,497.40 is: 3,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.20 : 12,511.70 = 2,497.40 : x
  2. Step 2: Convert to fraction form
    8,340.20/12,511.70 = 2,497.40/x
  3. Step 3: Cross multiply
    8,340.20x = 12,511.70 × 2,497.40
  4. Step 4: Simplify right side
    8,340.20x = 31,246,719.58
  5. Step 5: Solve for x
    x = 31,246,719.58/8,340.20
  6. Step 6: Final answer
    x = 3,746.52

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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.