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Finding the Fourth Proportional to 10,967.76, 15,135.12 and 6,189.21

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Solution

The fourth proportional to 10,967.76, 15,135.12 and 6,189.21 is: 8,540.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.76 : 15,135.12 = 6,189.21 : x
  2. Step 2: Convert to fraction form
    10,967.76/15,135.12 = 6,189.21/x
  3. Step 3: Cross multiply
    10,967.76x = 15,135.12 × 6,189.21
  4. Step 4: Simplify right side
    10,967.76x = 93,674,436.06
  5. Step 5: Solve for x
    x = 93,674,436.06/10,967.76
  6. Step 6: Final answer
    x = 8,540.89

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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.