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Finding the Fourth Proportional to 8,340.18, 12,507.10 and 3,407.17

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Solution

The fourth proportional to 8,340.18, 12,507.10 and 3,407.17 is: 5,109.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.18 : 12,507.10 = 3,407.17 : x
  2. Step 2: Convert to fraction form
    8,340.18/12,507.10 = 3,407.17/x
  3. Step 3: Cross multiply
    8,340.18x = 12,507.10 × 3,407.17
  4. Step 4: Simplify right side
    8,340.18x = 42,613,815.91
  5. Step 5: Solve for x
    x = 42,613,815.91/8,340.18
  6. Step 6: Final answer
    x = 5,109.46

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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.