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Finding the Fourth Proportional to 7,454.64, 11,181.98 and 2,260.56

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Solution

The fourth proportional to 7,454.64, 11,181.98 and 2,260.56 is: 3,390.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.64 : 11,181.98 = 2,260.56 : x
  2. Step 2: Convert to fraction form
    7,454.64/11,181.98 = 2,260.56/x
  3. Step 3: Cross multiply
    7,454.64x = 11,181.98 × 2,260.56
  4. Step 4: Simplify right side
    7,454.64x = 25,277,536.71
  5. Step 5: Solve for x
    x = 25,277,536.71/7,454.64
  6. Step 6: Final answer
    x = 3,390.85

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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.