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Finding the Fourth Proportional to 7,499.68, 11,248.56 and 2,305.44

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Solution

The fourth proportional to 7,499.68, 11,248.56 and 2,305.44 is: 3,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.68 : 11,248.56 = 2,305.44 : x
  2. Step 2: Convert to fraction form
    7,499.68/11,248.56 = 2,305.44/x
  3. Step 3: Cross multiply
    7,499.68x = 11,248.56 × 2,305.44
  4. Step 4: Simplify right side
    7,499.68x = 25,932,880.17
  5. Step 5: Solve for x
    x = 25,932,880.17/7,499.68
  6. Step 6: Final answer
    x = 3,457.86

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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.