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Finding the Fourth Proportional to 8,298, 12,447.63 and 3,103.92

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Solution

The fourth proportional to 8,298, 12,447.63 and 3,103.92 is: 4,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298 : 12,447.63 = 3,103.92 : x
  2. Step 2: Convert to fraction form
    8,298/12,447.63 = 3,103.92/x
  3. Step 3: Cross multiply
    8,298x = 12,447.63 × 3,103.92
  4. Step 4: Simplify right side
    8,298x = 38,636,447.71
  5. Step 5: Solve for x
    x = 38,636,447.71/8,298
  6. Step 6: Final answer
    x = 4,656.12

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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.