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Finding the Fourth Proportional to 7,500.66, 11,250.99 and 2,306.58

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Solution

The fourth proportional to 7,500.66, 11,250.99 and 2,306.58 is: 3,459.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.66 : 11,250.99 = 2,306.58 : x
  2. Step 2: Convert to fraction form
    7,500.66/11,250.99 = 2,306.58/x
  3. Step 3: Cross multiply
    7,500.66x = 11,250.99 × 2,306.58
  4. Step 4: Simplify right side
    7,500.66x = 25,951,308.51
  5. Step 5: Solve for x
    x = 25,951,308.51/7,500.66
  6. Step 6: Final answer
    x = 3,459.87

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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.