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Finding the Fourth Proportional to 10,028.88, 15,023.88 and 4,838.40

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Solution

The fourth proportional to 10,028.88, 15,023.88 and 4,838.40 is: 7,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.88 : 15,023.88 = 4,838.40 : x
  2. Step 2: Convert to fraction form
    10,028.88/15,023.88 = 4,838.40/x
  3. Step 3: Cross multiply
    10,028.88x = 15,023.88 × 4,838.40
  4. Step 4: Simplify right side
    10,028.88x = 72,691,540.99
  5. Step 5: Solve for x
    x = 72,691,540.99/10,028.88
  6. Step 6: Final answer
    x = 7,248.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.