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Finding the Fourth Proportional to 12,217.60, 16,868.28 and 7,742.80

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Solution

The fourth proportional to 12,217.60, 16,868.28 and 7,742.80 is: 10,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,217.60 : 16,868.28 = 7,742.80 : x
  2. Step 2: Convert to fraction form
    12,217.60/16,868.28 = 7,742.80/x
  3. Step 3: Cross multiply
    12,217.60x = 16,868.28 × 7,742.80
  4. Step 4: Simplify right side
    12,217.60x = 130,607,718.38
  5. Step 5: Solve for x
    x = 130,607,718.38/12,217.60
  6. Step 6: Final answer
    x = 10,690.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.