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Finding the Fourth Proportional to 7,468.74, 11,202.84 and 3,081.24

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Solution

The fourth proportional to 7,468.74, 11,202.84 and 3,081.24 is: 4,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.74 : 11,202.84 = 3,081.24 : x
  2. Step 2: Convert to fraction form
    7,468.74/11,202.84 = 3,081.24/x
  3. Step 3: Cross multiply
    7,468.74x = 11,202.84 × 3,081.24
  4. Step 4: Simplify right side
    7,468.74x = 34,518,638.72
  5. Step 5: Solve for x
    x = 34,518,638.72/7,468.74
  6. Step 6: Final answer
    x = 4,621.75

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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.