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Finding the Fourth Proportional to 11,145.58, 15,377.79 and 8,780.38

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Solution

The fourth proportional to 11,145.58, 15,377.79 and 8,780.38 is: 12,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.58 : 15,377.79 = 8,780.38 : x
  2. Step 2: Convert to fraction form
    11,145.58/15,377.79 = 8,780.38/x
  3. Step 3: Cross multiply
    11,145.58x = 15,377.79 × 8,780.38
  4. Step 4: Simplify right side
    11,145.58x = 135,022,839.76
  5. Step 5: Solve for x
    x = 135,022,839.76/11,145.58
  6. Step 6: Final answer
    x = 12,114.47

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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.