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Finding the Fourth Proportional to 8,427.69, 12,643.97 and 2,585.16

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Solution

The fourth proportional to 8,427.69, 12,643.97 and 2,585.16 is: 3,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.69 : 12,643.97 = 2,585.16 : x
  2. Step 2: Convert to fraction form
    8,427.69/12,643.97 = 2,585.16/x
  3. Step 3: Cross multiply
    8,427.69x = 12,643.97 × 2,585.16
  4. Step 4: Simplify right side
    8,427.69x = 32,686,672.56
  5. Step 5: Solve for x
    x = 32,686,672.56/8,427.69
  6. Step 6: Final answer
    x = 3,878.49

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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.