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Finding the Fourth Proportional to 8,574.50, 12,862.24 and 3,309.53

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Solution

The fourth proportional to 8,574.50, 12,862.24 and 3,309.53 is: 4,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.50 : 12,862.24 = 3,309.53 : x
  2. Step 2: Convert to fraction form
    8,574.50/12,862.24 = 3,309.53/x
  3. Step 3: Cross multiply
    8,574.50x = 12,862.24 × 3,309.53
  4. Step 4: Simplify right side
    8,574.50x = 42,567,969.15
  5. Step 5: Solve for x
    x = 42,567,969.15/8,574.50
  6. Step 6: Final answer
    x = 4,964.49

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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.