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Finding the Fourth Proportional to 8,089.98, 12,087.77 and 5,972.64

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Solution

The fourth proportional to 8,089.98, 12,087.77 and 5,972.64 is: 8,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.98 : 12,087.77 = 5,972.64 : x
  2. Step 2: Convert to fraction form
    8,089.98/12,087.77 = 5,972.64/x
  3. Step 3: Cross multiply
    8,089.98x = 12,087.77 × 5,972.64
  4. Step 4: Simplify right side
    8,089.98x = 72,195,898.61
  5. Step 5: Solve for x
    x = 72,195,898.61/8,089.98
  6. Step 6: Final answer
    x = 8,924.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.