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Finding the Fourth Proportional to 7,470.90, 11,202.30 and 2,538.54

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Solution

The fourth proportional to 7,470.90, 11,202.30 and 2,538.54 is: 3,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.90 : 11,202.30 = 2,538.54 : x
  2. Step 2: Convert to fraction form
    7,470.90/11,202.30 = 2,538.54/x
  3. Step 3: Cross multiply
    7,470.90x = 11,202.30 × 2,538.54
  4. Step 4: Simplify right side
    7,470.90x = 28,437,486.64
  5. Step 5: Solve for x
    x = 28,437,486.64/7,470.90
  6. Step 6: Final answer
    x = 3,806.43

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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.