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Finding the Fourth Proportional to 10,118.67, 13,963.23 and 6,342

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Solution

The fourth proportional to 10,118.67, 13,963.23 and 6,342 is: 8,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,118.67 : 13,963.23 = 6,342 : x
  2. Step 2: Convert to fraction form
    10,118.67/13,963.23 = 6,342/x
  3. Step 3: Cross multiply
    10,118.67x = 13,963.23 × 6,342
  4. Step 4: Simplify right side
    10,118.67x = 88,554,804.66
  5. Step 5: Solve for x
    x = 88,554,804.66/10,118.67
  6. Step 6: Final answer
    x = 8,751.62

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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.