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Finding the Fourth Proportional to 11,430.52, 15,774.15 and 6,394.83

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Solution

The fourth proportional to 11,430.52, 15,774.15 and 6,394.83 is: 8,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.52 : 15,774.15 = 6,394.83 : x
  2. Step 2: Convert to fraction form
    11,430.52/15,774.15 = 6,394.83/x
  3. Step 3: Cross multiply
    11,430.52x = 15,774.15 × 6,394.83
  4. Step 4: Simplify right side
    11,430.52x = 100,873,007.64
  5. Step 5: Solve for x
    x = 100,873,007.64/11,430.52
  6. Step 6: Final answer
    x = 8,824.88

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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.