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Finding the Fourth Proportional to 11,462.32, 15,816.72 and 6,426.64

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Solution

The fourth proportional to 11,462.32, 15,816.72 and 6,426.64 is: 8,868.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.32 : 15,816.72 = 6,426.64 : x
  2. Step 2: Convert to fraction form
    11,462.32/15,816.72 = 6,426.64/x
  3. Step 3: Cross multiply
    11,462.32x = 15,816.72 × 6,426.64
  4. Step 4: Simplify right side
    11,462.32x = 101,648,365.42
  5. Step 5: Solve for x
    x = 101,648,365.42/11,462.32
  6. Step 6: Final answer
    x = 8,868.04

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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.