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Finding the Fourth Proportional to 11,426.08, 15,767.84 and 6,458.08

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Solution

The fourth proportional to 11,426.08, 15,767.84 and 6,458.08 is: 8,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.08 : 15,767.84 = 6,458.08 : x
  2. Step 2: Convert to fraction form
    11,426.08/15,767.84 = 6,458.08/x
  3. Step 3: Cross multiply
    11,426.08x = 15,767.84 × 6,458.08
  4. Step 4: Simplify right side
    11,426.08x = 101,829,972.15
  5. Step 5: Solve for x
    x = 101,829,972.15/11,426.08
  6. Step 6: Final answer
    x = 8,912.07

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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.