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Finding the Fourth Proportional to 7,934.81, 10,948.86 and 4,398

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Solution

The fourth proportional to 7,934.81, 10,948.86 and 4,398 is: 6,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.81 : 10,948.86 = 4,398 : x
  2. Step 2: Convert to fraction form
    7,934.81/10,948.86 = 4,398/x
  3. Step 3: Cross multiply
    7,934.81x = 10,948.86 × 4,398
  4. Step 4: Simplify right side
    7,934.81x = 48,153,086.28
  5. Step 5: Solve for x
    x = 48,153,086.28/7,934.81
  6. Step 6: Final answer
    x = 6,068.59

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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.