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Finding the Fourth Proportional to 11,383.65, 15,707.52 and 6,346.75

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Solution

The fourth proportional to 11,383.65, 15,707.52 and 6,346.75 is: 8,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.65 : 15,707.52 = 6,346.75 : x
  2. Step 2: Convert to fraction form
    11,383.65/15,707.52 = 6,346.75/x
  3. Step 3: Cross multiply
    11,383.65x = 15,707.52 × 6,346.75
  4. Step 4: Simplify right side
    11,383.65x = 99,691,702.56
  5. Step 5: Solve for x
    x = 99,691,702.56/11,383.65
  6. Step 6: Final answer
    x = 8,757.45

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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.