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Finding the Fourth Proportional to 7,141.59, 10,712.48 and 2,211.21

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Solution

The fourth proportional to 7,141.59, 10,712.48 and 2,211.21 is: 3,316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.59 : 10,712.48 = 2,211.21 : x
  2. Step 2: Convert to fraction form
    7,141.59/10,712.48 = 2,211.21/x
  3. Step 3: Cross multiply
    7,141.59x = 10,712.48 × 2,211.21
  4. Step 4: Simplify right side
    7,141.59x = 23,687,531.84
  5. Step 5: Solve for x
    x = 23,687,531.84/7,141.59
  6. Step 6: Final answer
    x = 3,316.84

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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.