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Finding the Fourth Proportional to 7,800.96, 11,701.44 and 5,723.04

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Solution

The fourth proportional to 7,800.96, 11,701.44 and 5,723.04 is: 8,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.96 : 11,701.44 = 5,723.04 : x
  2. Step 2: Convert to fraction form
    7,800.96/11,701.44 = 5,723.04/x
  3. Step 3: Cross multiply
    7,800.96x = 11,701.44 × 5,723.04
  4. Step 4: Simplify right side
    7,800.96x = 66,967,809.18
  5. Step 5: Solve for x
    x = 66,967,809.18/7,800.96
  6. Step 6: Final answer
    x = 8,584.56

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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.