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Finding the Fourth Proportional to 10,544.16, 15,826.08 and 5,353.92

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Solution

The fourth proportional to 10,544.16, 15,826.08 and 5,353.92 is: 8,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.16 : 15,826.08 = 5,353.92 : x
  2. Step 2: Convert to fraction form
    10,544.16/15,826.08 = 5,353.92/x
  3. Step 3: Cross multiply
    10,544.16x = 15,826.08 × 5,353.92
  4. Step 4: Simplify right side
    10,544.16x = 84,731,566.23
  5. Step 5: Solve for x
    x = 84,731,566.23/10,544.16
  6. Step 6: Final answer
    x = 8,035.88

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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.