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Finding the Fourth Proportional to 6,719.76, 9,251.82 and 5,835.24

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Solution

The fourth proportional to 6,719.76, 9,251.82 and 5,835.24 is: 8,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,719.76 : 9,251.82 = 5,835.24 : x
  2. Step 2: Convert to fraction form
    6,719.76/9,251.82 = 5,835.24/x
  3. Step 3: Cross multiply
    6,719.76x = 9,251.82 × 5,835.24
  4. Step 4: Simplify right side
    6,719.76x = 53,986,590.14
  5. Step 5: Solve for x
    x = 53,986,590.14/6,719.76
  6. Step 6: Final answer
    x = 8,034.01

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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.