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Finding the Fourth Proportional to 8,265.71, 11,406.69 and 4,488.86

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Solution

The fourth proportional to 8,265.71, 11,406.69 and 4,488.86 is: 6,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.71 : 11,406.69 = 4,488.86 : x
  2. Step 2: Convert to fraction form
    8,265.71/11,406.69 = 4,488.86/x
  3. Step 3: Cross multiply
    8,265.71x = 11,406.69 × 4,488.86
  4. Step 4: Simplify right side
    8,265.71x = 51,203,062.99
  5. Step 5: Solve for x
    x = 51,203,062.99/8,265.71
  6. Step 6: Final answer
    x = 6,194.63

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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.