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Finding the Fourth Proportional to 8,246.74, 12,342.57 and 4,904.14

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Solution

The fourth proportional to 8,246.74, 12,342.57 and 4,904.14 is: 7,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.74 : 12,342.57 = 4,904.14 : x
  2. Step 2: Convert to fraction form
    8,246.74/12,342.57 = 4,904.14/x
  3. Step 3: Cross multiply
    8,246.74x = 12,342.57 × 4,904.14
  4. Step 4: Simplify right side
    8,246.74x = 60,529,691.24
  5. Step 5: Solve for x
    x = 60,529,691.24/8,246.74
  6. Step 6: Final answer
    x = 7,339.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.