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Finding the Fourth Proportional to 10,267.80, 15,401.70 and 4,028.10

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Solution

The fourth proportional to 10,267.80, 15,401.70 and 4,028.10 is: 6,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.80 : 15,401.70 = 4,028.10 : x
  2. Step 2: Convert to fraction form
    10,267.80/15,401.70 = 4,028.10/x
  3. Step 3: Cross multiply
    10,267.80x = 15,401.70 × 4,028.10
  4. Step 4: Simplify right side
    10,267.80x = 62,039,587.77
  5. Step 5: Solve for x
    x = 62,039,587.77/10,267.80
  6. Step 6: Final answer
    x = 6,042.15

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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.