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Finding the Fourth Proportional to 8,485.50, 12,727.42 and 2,642.02

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Solution

The fourth proportional to 8,485.50, 12,727.42 and 2,642.02 is: 3,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.50 : 12,727.42 = 2,642.02 : x
  2. Step 2: Convert to fraction form
    8,485.50/12,727.42 = 2,642.02/x
  3. Step 3: Cross multiply
    8,485.50x = 12,727.42 × 2,642.02
  4. Step 4: Simplify right side
    8,485.50x = 33,626,098.19
  5. Step 5: Solve for x
    x = 33,626,098.19/8,485.50
  6. Step 6: Final answer
    x = 3,962.77

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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.