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Finding the Fourth Proportional to 8,031.88, 12,052.14 and 7,660.36

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Solution

The fourth proportional to 8,031.88, 12,052.14 and 7,660.36 is: 11,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031.88 : 12,052.14 = 7,660.36 : x
  2. Step 2: Convert to fraction form
    8,031.88/12,052.14 = 7,660.36/x
  3. Step 3: Cross multiply
    8,031.88x = 12,052.14 × 7,660.36
  4. Step 4: Simplify right side
    8,031.88x = 92,323,731.17
  5. Step 5: Solve for x
    x = 92,323,731.17/8,031.88
  6. Step 6: Final answer
    x = 11,494.66

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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.