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Finding the Fourth Proportional to 7,842.24, 11,755.26 and 5,888.52

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Solution

The fourth proportional to 7,842.24, 11,755.26 and 5,888.52 is: 8,826.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.24 : 11,755.26 = 5,888.52 : x
  2. Step 2: Convert to fraction form
    7,842.24/11,755.26 = 5,888.52/x
  3. Step 3: Cross multiply
    7,842.24x = 11,755.26 × 5,888.52
  4. Step 4: Simplify right side
    7,842.24x = 69,221,083.62
  5. Step 5: Solve for x
    x = 69,221,083.62/7,842.24
  6. Step 6: Final answer
    x = 8,826.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.