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Finding the Fourth Proportional to 8,407.82, 12,592.29 and 8,116.22

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Solution

The fourth proportional to 8,407.82, 12,592.29 and 8,116.22 is: 12,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.82 : 12,592.29 = 8,116.22 : x
  2. Step 2: Convert to fraction form
    8,407.82/12,592.29 = 8,116.22/x
  3. Step 3: Cross multiply
    8,407.82x = 12,592.29 × 8,116.22
  4. Step 4: Simplify right side
    8,407.82x = 102,201,795.94
  5. Step 5: Solve for x
    x = 102,201,795.94/8,407.82
  6. Step 6: Final answer
    x = 12,155.56

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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.