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Finding the Fourth Proportional to 10,991.76, 15,164.85 and 6,211.14

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Solution

The fourth proportional to 10,991.76, 15,164.85 and 6,211.14 is: 8,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991.76 : 15,164.85 = 6,211.14 : x
  2. Step 2: Convert to fraction form
    10,991.76/15,164.85 = 6,211.14/x
  3. Step 3: Cross multiply
    10,991.76x = 15,164.85 × 6,211.14
  4. Step 4: Simplify right side
    10,991.76x = 94,191,006.43
  5. Step 5: Solve for x
    x = 94,191,006.43/10,991.76
  6. Step 6: Final answer
    x = 8,569.24

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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.