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Finding the Fourth Proportional to 8,464.38, 12,698.62 and 2,541.26

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Solution

The fourth proportional to 8,464.38, 12,698.62 and 2,541.26 is: 3,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.38 : 12,698.62 = 2,541.26 : x
  2. Step 2: Convert to fraction form
    8,464.38/12,698.62 = 2,541.26/x
  3. Step 3: Cross multiply
    8,464.38x = 12,698.62 × 2,541.26
  4. Step 4: Simplify right side
    8,464.38x = 32,270,463.32
  5. Step 5: Solve for x
    x = 32,270,463.32/8,464.38
  6. Step 6: Final answer
    x = 3,812.50

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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.