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Finding the Fourth Proportional to 7,074.80, 10,599.40 and 5,769.20

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Solution

The fourth proportional to 7,074.80, 10,599.40 and 5,769.20 is: 8,643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,074.80 : 10,599.40 = 5,769.20 : x
  2. Step 2: Convert to fraction form
    7,074.80/10,599.40 = 5,769.20/x
  3. Step 3: Cross multiply
    7,074.80x = 10,599.40 × 5,769.20
  4. Step 4: Simplify right side
    7,074.80x = 61,150,058.48
  5. Step 5: Solve for x
    x = 61,150,058.48/7,074.80
  6. Step 6: Final answer
    x = 8,643.36

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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.