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Finding the Fourth Proportional to 8,032, 11,087.04 and 6,165.76

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Solution

The fourth proportional to 8,032, 11,087.04 and 6,165.76 is: 8,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032 : 11,087.04 = 6,165.76 : x
  2. Step 2: Convert to fraction form
    8,032/11,087.04 = 6,165.76/x
  3. Step 3: Cross multiply
    8,032x = 11,087.04 × 6,165.76
  4. Step 4: Simplify right side
    8,032x = 68,360,027.75
  5. Step 5: Solve for x
    x = 68,360,027.75/8,032
  6. Step 6: Final answer
    x = 8,510.96

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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.