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Finding the Fourth Proportional to 7,832.71, 10,809.04 and 4,295.91

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Solution

The fourth proportional to 7,832.71, 10,809.04 and 4,295.91 is: 5,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.71 : 10,809.04 = 4,295.91 : x
  2. Step 2: Convert to fraction form
    7,832.71/10,809.04 = 4,295.91/x
  3. Step 3: Cross multiply
    7,832.71x = 10,809.04 × 4,295.91
  4. Step 4: Simplify right side
    7,832.71x = 46,434,663.03
  5. Step 5: Solve for x
    x = 46,434,663.03/7,832.71
  6. Step 6: Final answer
    x = 5,928.30

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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.