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Finding the Fourth Proportional to 11,478.24, 15,842.22 and 6,698.76

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Solution

The fourth proportional to 11,478.24, 15,842.22 and 6,698.76 is: 9,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,478.24 : 15,842.22 = 6,698.76 : x
  2. Step 2: Convert to fraction form
    11,478.24/15,842.22 = 6,698.76/x
  3. Step 3: Cross multiply
    11,478.24x = 15,842.22 × 6,698.76
  4. Step 4: Simplify right side
    11,478.24x = 106,123,229.65
  5. Step 5: Solve for x
    x = 106,123,229.65/11,478.24
  6. Step 6: Final answer
    x = 9,245.60

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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.