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Finding the Fourth Proportional to 7,262.61, 10,019.49 and 5,268.78

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Solution

The fourth proportional to 7,262.61, 10,019.49 and 5,268.78 is: 7,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,262.61 : 10,019.49 = 5,268.78 : x
  2. Step 2: Convert to fraction form
    7,262.61/10,019.49 = 5,268.78/x
  3. Step 3: Cross multiply
    7,262.61x = 10,019.49 × 5,268.78
  4. Step 4: Simplify right side
    7,262.61x = 52,790,488.52
  5. Step 5: Solve for x
    x = 52,790,488.52/7,262.61
  6. Step 6: Final answer
    x = 7,268.80

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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.