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Finding the Fourth Proportional to 7,934, 10,944.36 and 4,948.40

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Solution

The fourth proportional to 7,934, 10,944.36 and 4,948.40 is: 6,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934 : 10,944.36 = 4,948.40 : x
  2. Step 2: Convert to fraction form
    7,934/10,944.36 = 4,948.40/x
  3. Step 3: Cross multiply
    7,934x = 10,944.36 × 4,948.40
  4. Step 4: Simplify right side
    7,934x = 54,157,071.02
  5. Step 5: Solve for x
    x = 54,157,071.02/7,934
  6. Step 6: Final answer
    x = 6,825.95

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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.