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Finding the Fourth Proportional to 7,258.99, 10,882.03 and 2,578.38

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Solution

The fourth proportional to 7,258.99, 10,882.03 and 2,578.38 is: 3,865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.99 : 10,882.03 = 2,578.38 : x
  2. Step 2: Convert to fraction form
    7,258.99/10,882.03 = 2,578.38/x
  3. Step 3: Cross multiply
    7,258.99x = 10,882.03 × 2,578.38
  4. Step 4: Simplify right side
    7,258.99x = 28,058,038.18
  5. Step 5: Solve for x
    x = 28,058,038.18/7,258.99
  6. Step 6: Final answer
    x = 3,865.28

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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.