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Finding the Fourth Proportional to 11,462.58, 15,819.24 and 6,427.92

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Solution

The fourth proportional to 11,462.58, 15,819.24 and 6,427.92 is: 8,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.58 : 15,819.24 = 6,427.92 : x
  2. Step 2: Convert to fraction form
    11,462.58/15,819.24 = 6,427.92/x
  3. Step 3: Cross multiply
    11,462.58x = 15,819.24 × 6,427.92
  4. Step 4: Simplify right side
    11,462.58x = 101,684,809.18
  5. Step 5: Solve for x
    x = 101,684,809.18/11,462.58
  6. Step 6: Final answer
    x = 8,871.02

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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.