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Finding the Fourth Proportional to 7,769.50, 11,654.07 and 1,926.16

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Solution

The fourth proportional to 7,769.50, 11,654.07 and 1,926.16 is: 2,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.50 : 11,654.07 = 1,926.16 : x
  2. Step 2: Convert to fraction form
    7,769.50/11,654.07 = 1,926.16/x
  3. Step 3: Cross multiply
    7,769.50x = 11,654.07 × 1,926.16
  4. Step 4: Simplify right side
    7,769.50x = 22,447,603.47
  5. Step 5: Solve for x
    x = 22,447,603.47/7,769.50
  6. Step 6: Final answer
    x = 2,889.20

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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.