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Finding the Fourth Proportional to 11,434.14, 15,778.76 and 6,398.78

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Solution

The fourth proportional to 11,434.14, 15,778.76 and 6,398.78 is: 8,830.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,434.14 : 15,778.76 = 6,398.78 : x
  2. Step 2: Convert to fraction form
    11,434.14/15,778.76 = 6,398.78/x
  3. Step 3: Cross multiply
    11,434.14x = 15,778.76 × 6,398.78
  4. Step 4: Simplify right side
    11,434.14x = 100,964,703.03
  5. Step 5: Solve for x
    x = 100,964,703.03/11,434.14
  6. Step 6: Final answer
    x = 8,830.11

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