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Finding the Fourth Proportional to 11,567.38, 15,962.98 and 6,262.24

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Solution

The fourth proportional to 11,567.38, 15,962.98 and 6,262.24 is: 8,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.38 : 15,962.98 = 6,262.24 : x
  2. Step 2: Convert to fraction form
    11,567.38/15,962.98 = 6,262.24/x
  3. Step 3: Cross multiply
    11,567.38x = 15,962.98 × 6,262.24
  4. Step 4: Simplify right side
    11,567.38x = 99,964,011.88
  5. Step 5: Solve for x
    x = 99,964,011.88/11,567.38
  6. Step 6: Final answer
    x = 8,641.89

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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.