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Finding the Fourth Proportional to 8,548.80, 12,823.20 and 7,166.40

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Solution

The fourth proportional to 8,548.80, 12,823.20 and 7,166.40 is: 10,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.80 : 12,823.20 = 7,166.40 : x
  2. Step 2: Convert to fraction form
    8,548.80/12,823.20 = 7,166.40/x
  3. Step 3: Cross multiply
    8,548.80x = 12,823.20 × 7,166.40
  4. Step 4: Simplify right side
    8,548.80x = 91,896,180.48
  5. Step 5: Solve for x
    x = 91,896,180.48/8,548.80
  6. Step 6: Final answer
    x = 10,749.60

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Similar ratio
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1.5x scale

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.