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Finding the Fourth Proportional to 8,110, 11,191.80 and 4,384

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Solution

The fourth proportional to 8,110, 11,191.80 and 4,384 is: 6,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110 : 11,191.80 = 4,384 : x
  2. Step 2: Convert to fraction form
    8,110/11,191.80 = 4,384/x
  3. Step 3: Cross multiply
    8,110x = 11,191.80 × 4,384
  4. Step 4: Simplify right side
    8,110x = 49,064,851.20
  5. Step 5: Solve for x
    x = 49,064,851.20/8,110
  6. Step 6: Final answer
    x = 6,049.92

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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.