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Finding the Fourth Proportional to 8,548.48, 12,742.88 and 8,456.32

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Solution

The fourth proportional to 8,548.48, 12,742.88 and 8,456.32 is: 12,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.48 : 12,742.88 = 8,456.32 : x
  2. Step 2: Convert to fraction form
    8,548.48/12,742.88 = 8,456.32/x
  3. Step 3: Cross multiply
    8,548.48x = 12,742.88 × 8,456.32
  4. Step 4: Simplify right side
    8,548.48x = 107,757,871.00
  5. Step 5: Solve for x
    x = 107,757,871.00/8,548.48
  6. Step 6: Final answer
    x = 12,605.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.