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Finding the Fourth Proportional to 11,567.61, 15,963.35 and 6,262.38

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Solution

The fourth proportional to 11,567.61, 15,963.35 and 6,262.38 is: 8,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.61 : 15,963.35 = 6,262.38 : x
  2. Step 2: Convert to fraction form
    11,567.61/15,963.35 = 6,262.38/x
  3. Step 3: Cross multiply
    11,567.61x = 15,963.35 × 6,262.38
  4. Step 4: Simplify right side
    11,567.61x = 99,968,532.46
  5. Step 5: Solve for x
    x = 99,968,532.46/11,567.61
  6. Step 6: Final answer
    x = 8,642.11

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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.