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Finding the Fourth Proportional to 10,967.87, 15,135.67 and 6,188.83

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Solution

The fourth proportional to 10,967.87, 15,135.67 and 6,188.83 is: 8,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.87 : 15,135.67 = 6,188.83 : x
  2. Step 2: Convert to fraction form
    10,967.87/15,135.67 = 6,188.83/x
  3. Step 3: Cross multiply
    10,967.87x = 15,135.67 × 6,188.83
  4. Step 4: Simplify right side
    10,967.87x = 93,672,038.70
  5. Step 5: Solve for x
    x = 93,672,038.70/10,967.87
  6. Step 6: Final answer
    x = 8,540.59

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