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Finding the Fourth Proportional to 7,459.48, 11,189.76 and 2,265.76

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Solution

The fourth proportional to 7,459.48, 11,189.76 and 2,265.76 is: 3,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.48 : 11,189.76 = 2,265.76 : x
  2. Step 2: Convert to fraction form
    7,459.48/11,189.76 = 2,265.76/x
  3. Step 3: Cross multiply
    7,459.48x = 11,189.76 × 2,265.76
  4. Step 4: Simplify right side
    7,459.48x = 25,353,310.62
  5. Step 5: Solve for x
    x = 25,353,310.62/7,459.48
  6. Step 6: Final answer
    x = 3,398.80

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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.