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Finding the Fourth Proportional to 7,849.67, 10,832.55 and 4,313.15

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Solution

The fourth proportional to 7,849.67, 10,832.55 and 4,313.15 is: 5,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.67 : 10,832.55 = 4,313.15 : x
  2. Step 2: Convert to fraction form
    7,849.67/10,832.55 = 4,313.15/x
  3. Step 3: Cross multiply
    7,849.67x = 10,832.55 × 4,313.15
  4. Step 4: Simplify right side
    7,849.67x = 46,722,358.87
  5. Step 5: Solve for x
    x = 46,722,358.87/7,849.67
  6. Step 6: Final answer
    x = 5,952.14

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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.