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Finding the Fourth Proportional to 11,567.75, 15,963.41 and 6,262.52

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Solution

The fourth proportional to 11,567.75, 15,963.41 and 6,262.52 is: 8,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.75 : 15,963.41 = 6,262.52 : x
  2. Step 2: Convert to fraction form
    11,567.75/15,963.41 = 6,262.52/x
  3. Step 3: Cross multiply
    11,567.75x = 15,963.41 × 6,262.52
  4. Step 4: Simplify right side
    11,567.75x = 99,971,244.92
  5. Step 5: Solve for x
    x = 99,971,244.92/11,567.75
  6. Step 6: Final answer
    x = 8,642.24

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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.