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Finding the Fourth Proportional to 8,089.84, 12,129 and 6,531.76

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Solution

The fourth proportional to 8,089.84, 12,129 and 6,531.76 is: 9,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.84 : 12,129 = 6,531.76 : x
  2. Step 2: Convert to fraction form
    8,089.84/12,129 = 6,531.76/x
  3. Step 3: Cross multiply
    8,089.84x = 12,129 × 6,531.76
  4. Step 4: Simplify right side
    8,089.84x = 79,223,717.04
  5. Step 5: Solve for x
    x = 79,223,717.04/8,089.84
  6. Step 6: Final answer
    x = 9,792.99

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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.