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Finding the Fourth Proportional to 8,729.59, 12,042.91 and 5,896.05

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Solution

The fourth proportional to 8,729.59, 12,042.91 and 5,896.05 is: 8,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.59 : 12,042.91 = 5,896.05 : x
  2. Step 2: Convert to fraction form
    8,729.59/12,042.91 = 5,896.05/x
  3. Step 3: Cross multiply
    8,729.59x = 12,042.91 × 5,896.05
  4. Step 4: Simplify right side
    8,729.59x = 71,005,599.51
  5. Step 5: Solve for x
    x = 71,005,599.51/8,729.59
  6. Step 6: Final answer
    x = 8,133.90

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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.