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Finding the Fourth Proportional to 10,101.60, 15,145.20 and 3,859.20

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Solution

The fourth proportional to 10,101.60, 15,145.20 and 3,859.20 is: 5,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,101.60 : 15,145.20 = 3,859.20 : x
  2. Step 2: Convert to fraction form
    10,101.60/15,145.20 = 3,859.20/x
  3. Step 3: Cross multiply
    10,101.60x = 15,145.20 × 3,859.20
  4. Step 4: Simplify right side
    10,101.60x = 58,448,355.84
  5. Step 5: Solve for x
    x = 58,448,355.84/10,101.60
  6. Step 6: Final answer
    x = 5,786.05

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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.