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Finding the Fourth Proportional to 11,394.76, 15,724.54 and 6,426.76

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Solution

The fourth proportional to 11,394.76, 15,724.54 and 6,426.76 is: 8,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.76 : 15,724.54 = 6,426.76 : x
  2. Step 2: Convert to fraction form
    11,394.76/15,724.54 = 6,426.76/x
  3. Step 3: Cross multiply
    11,394.76x = 15,724.54 × 6,426.76
  4. Step 4: Simplify right side
    11,394.76x = 101,057,844.69
  5. Step 5: Solve for x
    x = 101,057,844.69/11,394.76
  6. Step 6: Final answer
    x = 8,868.80

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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.