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Finding the Fourth Proportional to 7,864.50, 11,782.11 and 5,667.78

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Solution

The fourth proportional to 7,864.50, 11,782.11 and 5,667.78 is: 8,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.50 : 11,782.11 = 5,667.78 : x
  2. Step 2: Convert to fraction form
    7,864.50/11,782.11 = 5,667.78/x
  3. Step 3: Cross multiply
    7,864.50x = 11,782.11 × 5,667.78
  4. Step 4: Simplify right side
    7,864.50x = 66,778,407.42
  5. Step 5: Solve for x
    x = 66,778,407.42/7,864.50
  6. Step 6: Final answer
    x = 8,491.12

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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.