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Finding the Fourth Proportional to 10,396.80, 15,585.60 and 3,819.36

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Solution

The fourth proportional to 10,396.80, 15,585.60 and 3,819.36 is: 5,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.80 : 15,585.60 = 3,819.36 : x
  2. Step 2: Convert to fraction form
    10,396.80/15,585.60 = 3,819.36/x
  3. Step 3: Cross multiply
    10,396.80x = 15,585.60 × 3,819.36
  4. Step 4: Simplify right side
    10,396.80x = 59,527,017.22
  5. Step 5: Solve for x
    x = 59,527,017.22/10,396.80
  6. Step 6: Final answer
    x = 5,725.51

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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.