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Finding the Fourth Proportional to 8,523.68, 11,766.32 and 5,730.80

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Solution

The fourth proportional to 8,523.68, 11,766.32 and 5,730.80 is: 7,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.68 : 11,766.32 = 5,730.80 : x
  2. Step 2: Convert to fraction form
    8,523.68/11,766.32 = 5,730.80/x
  3. Step 3: Cross multiply
    8,523.68x = 11,766.32 × 5,730.80
  4. Step 4: Simplify right side
    8,523.68x = 67,430,368.59
  5. Step 5: Solve for x
    x = 67,430,368.59/8,523.68
  6. Step 6: Final answer
    x = 7,910.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.