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Finding the Fourth Proportional to 11,474.01, 15,834.29 and 6,439.32

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Solution

The fourth proportional to 11,474.01, 15,834.29 and 6,439.32 is: 8,886.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.01 : 15,834.29 = 6,439.32 : x
  2. Step 2: Convert to fraction form
    11,474.01/15,834.29 = 6,439.32/x
  3. Step 3: Cross multiply
    11,474.01x = 15,834.29 × 6,439.32
  4. Step 4: Simplify right side
    11,474.01x = 101,962,028.09
  5. Step 5: Solve for x
    x = 101,962,028.09/11,474.01
  6. Step 6: Final answer
    x = 8,886.35

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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.