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Finding the Fourth Proportional to 7,471.12, 11,204.10 and 3,314.05

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Solution

The fourth proportional to 7,471.12, 11,204.10 and 3,314.05 is: 4,969.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.12 : 11,204.10 = 3,314.05 : x
  2. Step 2: Convert to fraction form
    7,471.12/11,204.10 = 3,314.05/x
  3. Step 3: Cross multiply
    7,471.12x = 11,204.10 × 3,314.05
  4. Step 4: Simplify right side
    7,471.12x = 37,130,947.61
  5. Step 5: Solve for x
    x = 37,130,947.61/7,471.12
  6. Step 6: Final answer
    x = 4,969.93

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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.