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Finding the Fourth Proportional to 7,362.71, 11,034.70 and 3,461.75

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Solution

The fourth proportional to 7,362.71, 11,034.70 and 3,461.75 is: 5,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.71 : 11,034.70 = 3,461.75 : x
  2. Step 2: Convert to fraction form
    7,362.71/11,034.70 = 3,461.75/x
  3. Step 3: Cross multiply
    7,362.71x = 11,034.70 × 3,461.75
  4. Step 4: Simplify right side
    7,362.71x = 38,199,372.73
  5. Step 5: Solve for x
    x = 38,199,372.73/7,362.71
  6. Step 6: Final answer
    x = 5,188.22

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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.