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Finding the Fourth Proportional to 8,711.81, 12,024.06 and 5,174.34

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Solution

The fourth proportional to 8,711.81, 12,024.06 and 5,174.34 is: 7,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.81 : 12,024.06 = 5,174.34 : x
  2. Step 2: Convert to fraction form
    8,711.81/12,024.06 = 5,174.34/x
  3. Step 3: Cross multiply
    8,711.81x = 12,024.06 × 5,174.34
  4. Step 4: Simplify right side
    8,711.81x = 62,216,577.76
  5. Step 5: Solve for x
    x = 62,216,577.76/8,711.81
  6. Step 6: Final answer
    x = 7,141.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.