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Finding the Fourth Proportional to 28,581.28, 42,865.44 and 7,806.40

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Solution

The fourth proportional to 28,581.28, 42,865.44 and 7,806.40 is: 11,707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,581.28 : 42,865.44 = 7,806.40 : x
  2. Step 2: Convert to fraction form
    28,581.28/42,865.44 = 7,806.40/x
  3. Step 3: Cross multiply
    28,581.28x = 42,865.44 × 7,806.40
  4. Step 4: Simplify right side
    28,581.28x = 334,624,770.82
  5. Step 5: Solve for x
    x = 334,624,770.82/28,581.28
  6. Step 6: Final answer
    x = 11,707.83

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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.