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Finding the Fourth Proportional to 8,417.80, 12,627.30 and 2,574.40

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Solution

The fourth proportional to 8,417.80, 12,627.30 and 2,574.40 is: 3,861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.80 : 12,627.30 = 2,574.40 : x
  2. Step 2: Convert to fraction form
    8,417.80/12,627.30 = 2,574.40/x
  3. Step 3: Cross multiply
    8,417.80x = 12,627.30 × 2,574.40
  4. Step 4: Simplify right side
    8,417.80x = 32,507,721.12
  5. Step 5: Solve for x
    x = 32,507,721.12/8,417.80
  6. Step 6: Final answer
    x = 3,861.78

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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.