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Finding the Fourth Proportional to 11,876.64, 17,818.22 and 4,086.08

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Solution

The fourth proportional to 11,876.64, 17,818.22 and 4,086.08 is: 6,130.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.64 : 17,818.22 = 4,086.08 : x
  2. Step 2: Convert to fraction form
    11,876.64/17,818.22 = 4,086.08/x
  3. Step 3: Cross multiply
    11,876.64x = 17,818.22 × 4,086.08
  4. Step 4: Simplify right side
    11,876.64x = 72,806,672.38
  5. Step 5: Solve for x
    x = 72,806,672.38/11,876.64
  6. Step 6: Final answer
    x = 6,130.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.