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Finding the Fourth Proportional to 7,456.18, 10,301.97 and 6,212.02

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Solution

The fourth proportional to 7,456.18, 10,301.97 and 6,212.02 is: 8,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.18 : 10,301.97 = 6,212.02 : x
  2. Step 2: Convert to fraction form
    7,456.18/10,301.97 = 6,212.02/x
  3. Step 3: Cross multiply
    7,456.18x = 10,301.97 × 6,212.02
  4. Step 4: Simplify right side
    7,456.18x = 63,996,043.68
  5. Step 5: Solve for x
    x = 63,996,043.68/7,456.18
  6. Step 6: Final answer
    x = 8,582.95

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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.