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Finding the Fourth Proportional to 11,630.52, 16,056.08 and 7,873.56

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Solution

The fourth proportional to 11,630.52, 16,056.08 and 7,873.56 is: 10,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.52 : 16,056.08 = 7,873.56 : x
  2. Step 2: Convert to fraction form
    11,630.52/16,056.08 = 7,873.56/x
  3. Step 3: Cross multiply
    11,630.52x = 16,056.08 × 7,873.56
  4. Step 4: Simplify right side
    11,630.52x = 126,418,509.24
  5. Step 5: Solve for x
    x = 126,418,509.24/11,630.52
  6. Step 6: Final answer
    x = 10,869.55

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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.