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Finding the Fourth Proportional to 8,399.84, 12,591.54 and 3,131

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Solution

The fourth proportional to 8,399.84, 12,591.54 and 3,131 is: 4,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.84 : 12,591.54 = 3,131 : x
  2. Step 2: Convert to fraction form
    8,399.84/12,591.54 = 3,131/x
  3. Step 3: Cross multiply
    8,399.84x = 12,591.54 × 3,131
  4. Step 4: Simplify right side
    8,399.84x = 39,424,111.74
  5. Step 5: Solve for x
    x = 39,424,111.74/8,399.84
  6. Step 6: Final answer
    x = 4,693.44

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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.