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Finding the Fourth Proportional to 11,394.90, 15,724.56 and 6,359.02

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Solution

The fourth proportional to 11,394.90, 15,724.56 and 6,359.02 is: 8,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.90 : 15,724.56 = 6,359.02 : x
  2. Step 2: Convert to fraction form
    11,394.90/15,724.56 = 6,359.02/x
  3. Step 3: Cross multiply
    11,394.90x = 15,724.56 × 6,359.02
  4. Step 4: Simplify right side
    11,394.90x = 99,992,791.53
  5. Step 5: Solve for x
    x = 99,992,791.53/11,394.90
  6. Step 6: Final answer
    x = 8,775.22

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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.