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Finding the Fourth Proportional to 6,106.53, 9,159.78 and 2,211.24

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Solution

The fourth proportional to 6,106.53, 9,159.78 and 2,211.24 is: 3,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.53 : 9,159.78 = 2,211.24 : x
  2. Step 2: Convert to fraction form
    6,106.53/9,159.78 = 2,211.24/x
  3. Step 3: Cross multiply
    6,106.53x = 9,159.78 × 2,211.24
  4. Step 4: Simplify right side
    6,106.53x = 20,254,471.93
  5. Step 5: Solve for x
    x = 20,254,471.93/6,106.53
  6. Step 6: Final answer
    x = 3,316.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.