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Finding the Fourth Proportional to 8,483.14, 12,716.25 and 4,098.19

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Solution

The fourth proportional to 8,483.14, 12,716.25 and 4,098.19 is: 6,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.14 : 12,716.25 = 4,098.19 : x
  2. Step 2: Convert to fraction form
    8,483.14/12,716.25 = 4,098.19/x
  3. Step 3: Cross multiply
    8,483.14x = 12,716.25 × 4,098.19
  4. Step 4: Simplify right side
    8,483.14x = 52,113,608.59
  5. Step 5: Solve for x
    x = 52,113,608.59/8,483.14
  6. Step 6: Final answer
    x = 6,143.20

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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.