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Finding the Fourth Proportional to 8,192.68, 12,278.76 and 3,507.17

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Solution

The fourth proportional to 8,192.68, 12,278.76 and 3,507.17 is: 5,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.68 : 12,278.76 = 3,507.17 : x
  2. Step 2: Convert to fraction form
    8,192.68/12,278.76 = 3,507.17/x
  3. Step 3: Cross multiply
    8,192.68x = 12,278.76 × 3,507.17
  4. Step 4: Simplify right side
    8,192.68x = 43,063,624.16
  5. Step 5: Solve for x
    x = 43,063,624.16/8,192.68
  6. Step 6: Final answer
    x = 5,256.36

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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.