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Finding the Fourth Proportional to 7,849.71, 10,832.56 and 4,313.12

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Solution

The fourth proportional to 7,849.71, 10,832.56 and 4,313.12 is: 5,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.71 : 10,832.56 = 4,313.12 : x
  2. Step 2: Convert to fraction form
    7,849.71/10,832.56 = 4,313.12/x
  3. Step 3: Cross multiply
    7,849.71x = 10,832.56 × 4,313.12
  4. Step 4: Simplify right side
    7,849.71x = 46,722,066.24
  5. Step 5: Solve for x
    x = 46,722,066.24/7,849.71
  6. Step 6: Final answer
    x = 5,952.08

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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.