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Finding the Fourth Proportional to 7,836.41, 10,815.97 and 5,417.17

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Solution

The fourth proportional to 7,836.41, 10,815.97 and 5,417.17 is: 7,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,836.41 : 10,815.97 = 5,417.17 : x
  2. Step 2: Convert to fraction form
    7,836.41/10,815.97 = 5,417.17/x
  3. Step 3: Cross multiply
    7,836.41x = 10,815.97 × 5,417.17
  4. Step 4: Simplify right side
    7,836.41x = 58,591,948.20
  5. Step 5: Solve for x
    x = 58,591,948.20/7,836.41
  6. Step 6: Final answer
    x = 7,476.89

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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.