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Finding the Fourth Proportional to 7,832.64, 11,748.96 and 3,934.31

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Solution

The fourth proportional to 7,832.64, 11,748.96 and 3,934.31 is: 5,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.64 : 11,748.96 = 3,934.31 : x
  2. Step 2: Convert to fraction form
    7,832.64/11,748.96 = 3,934.31/x
  3. Step 3: Cross multiply
    7,832.64x = 11,748.96 × 3,934.31
  4. Step 4: Simplify right side
    7,832.64x = 46,224,080.19
  5. Step 5: Solve for x
    x = 46,224,080.19/7,832.64
  6. Step 6: Final answer
    x = 5,901.47

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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.