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Finding the Fourth Proportional to 11,780.38, 16,256.19 and 6,744.61

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Solution

The fourth proportional to 11,780.38, 16,256.19 and 6,744.61 is: 9,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.38 : 16,256.19 = 6,744.61 : x
  2. Step 2: Convert to fraction form
    11,780.38/16,256.19 = 6,744.61/x
  3. Step 3: Cross multiply
    11,780.38x = 16,256.19 × 6,744.61
  4. Step 4: Simplify right side
    11,780.38x = 109,641,661.64
  5. Step 5: Solve for x
    x = 109,641,661.64/11,780.38
  6. Step 6: Final answer
    x = 9,307.14

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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.