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Finding the Fourth Proportional to 10,020.32, 15,026.16 and 3,860

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Solution

The fourth proportional to 10,020.32, 15,026.16 and 3,860 is: 5,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.32 : 15,026.16 = 3,860 : x
  2. Step 2: Convert to fraction form
    10,020.32/15,026.16 = 3,860/x
  3. Step 3: Cross multiply
    10,020.32x = 15,026.16 × 3,860
  4. Step 4: Simplify right side
    10,020.32x = 58,000,977.60
  5. Step 5: Solve for x
    x = 58,000,977.60/10,020.32
  6. Step 6: Final answer
    x = 5,788.34

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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.