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Finding the Fourth Proportional to 10,967.90, 15,135.71 and 6,188.86

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Solution

The fourth proportional to 10,967.90, 15,135.71 and 6,188.86 is: 8,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.90 : 15,135.71 = 6,188.86 : x
  2. Step 2: Convert to fraction form
    10,967.90/15,135.71 = 6,188.86/x
  3. Step 3: Cross multiply
    10,967.90x = 15,135.71 × 6,188.86
  4. Step 4: Simplify right side
    10,967.90x = 93,672,781.38
  5. Step 5: Solve for x
    x = 93,672,781.38/10,967.90
  6. Step 6: Final answer
    x = 8,540.63

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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.