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Finding the Fourth Proportional to 7,076.25, 10,614.38 and 2,459.25

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Solution

The fourth proportional to 7,076.25, 10,614.38 and 2,459.25 is: 3,688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.25 : 10,614.38 = 2,459.25 : x
  2. Step 2: Convert to fraction form
    7,076.25/10,614.38 = 2,459.25/x
  3. Step 3: Cross multiply
    7,076.25x = 10,614.38 × 2,459.25
  4. Step 4: Simplify right side
    7,076.25x = 26,103,401.72
  5. Step 5: Solve for x
    x = 26,103,401.72/7,076.25
  6. Step 6: Final answer
    x = 3,688.88

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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.