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Finding the Fourth Proportional to 12,241.16, 16,890.02 and 6,934.76

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Solution

The fourth proportional to 12,241.16, 16,890.02 and 6,934.76 is: 9,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,241.16 : 16,890.02 = 6,934.76 : x
  2. Step 2: Convert to fraction form
    12,241.16/16,890.02 = 6,934.76/x
  3. Step 3: Cross multiply
    12,241.16x = 16,890.02 × 6,934.76
  4. Step 4: Simplify right side
    12,241.16x = 117,128,235.10
  5. Step 5: Solve for x
    x = 117,128,235.10/12,241.16
  6. Step 6: Final answer
    x = 9,568.39

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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.