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Finding the Fourth Proportional to 7,933.64, 10,948.42 and 4,789.16

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Solution

The fourth proportional to 7,933.64, 10,948.42 and 4,789.16 is: 6,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.64 : 10,948.42 = 4,789.16 : x
  2. Step 2: Convert to fraction form
    7,933.64/10,948.42 = 4,789.16/x
  3. Step 3: Cross multiply
    7,933.64x = 10,948.42 × 4,789.16
  4. Step 4: Simplify right side
    7,933.64x = 52,433,735.13
  5. Step 5: Solve for x
    x = 52,433,735.13/7,933.64
  6. Step 6: Final answer
    x = 6,609.04

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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.