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Finding the Fourth Proportional to 11,462.42, 15,817.78 and 6,426.93

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Solution

The fourth proportional to 11,462.42, 15,817.78 and 6,426.93 is: 8,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.42 : 15,817.78 = 6,426.93 : x
  2. Step 2: Convert to fraction form
    11,462.42/15,817.78 = 6,426.93/x
  3. Step 3: Cross multiply
    11,462.42x = 15,817.78 × 6,426.93
  4. Step 4: Simplify right side
    11,462.42x = 101,659,809.92
  5. Step 5: Solve for x
    x = 101,659,809.92/11,462.42
  6. Step 6: Final answer
    x = 8,868.96

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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.