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Finding the Fourth Proportional to 11,567.57, 15,963.23 and 6,262.39

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Solution

The fourth proportional to 11,567.57, 15,963.23 and 6,262.39 is: 8,642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.57 : 15,963.23 = 6,262.39 : x
  2. Step 2: Convert to fraction form
    11,567.57/15,963.23 = 6,262.39/x
  3. Step 3: Cross multiply
    11,567.57x = 15,963.23 × 6,262.39
  4. Step 4: Simplify right side
    11,567.57x = 99,967,900.70
  5. Step 5: Solve for x
    x = 99,967,900.70/11,567.57
  6. Step 6: Final answer
    x = 8,642.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.