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Finding the Fourth Proportional to 11,427.12, 15,767.85 and 6,391.08

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Solution

The fourth proportional to 11,427.12, 15,767.85 and 6,391.08 is: 8,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.12 : 15,767.85 = 6,391.08 : x
  2. Step 2: Convert to fraction form
    11,427.12/15,767.85 = 6,391.08/x
  3. Step 3: Cross multiply
    11,427.12x = 15,767.85 × 6,391.08
  4. Step 4: Simplify right side
    11,427.12x = 100,773,590.78
  5. Step 5: Solve for x
    x = 100,773,590.78/11,427.12
  6. Step 6: Final answer
    x = 8,818.81

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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.