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Finding the Fourth Proportional to 8,342.84, 12,516.88 and 5,014.92

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Solution

The fourth proportional to 8,342.84, 12,516.88 and 5,014.92 is: 7,523.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.84 : 12,516.88 = 5,014.92 : x
  2. Step 2: Convert to fraction form
    8,342.84/12,516.88 = 5,014.92/x
  3. Step 3: Cross multiply
    8,342.84x = 12,516.88 × 5,014.92
  4. Step 4: Simplify right side
    8,342.84x = 62,771,151.85
  5. Step 5: Solve for x
    x = 62,771,151.85/8,342.84
  6. Step 6: Final answer
    x = 7,523.95

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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.