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Finding the Fourth Proportional to 11,876.02, 16,381.75 and 7,842.88

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Solution

The fourth proportional to 11,876.02, 16,381.75 and 7,842.88 is: 10,818.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.02 : 16,381.75 = 7,842.88 : x
  2. Step 2: Convert to fraction form
    11,876.02/16,381.75 = 7,842.88/x
  3. Step 3: Cross multiply
    11,876.02x = 16,381.75 × 7,842.88
  4. Step 4: Simplify right side
    11,876.02x = 128,480,099.44
  5. Step 5: Solve for x
    x = 128,480,099.44/11,876.02
  6. Step 6: Final answer
    x = 10,818.45

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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.