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Finding the Fourth Proportional to 7,769.72, 11,656.68 and 2,575.64

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Solution

The fourth proportional to 7,769.72, 11,656.68 and 2,575.64 is: 3,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.72 : 11,656.68 = 2,575.64 : x
  2. Step 2: Convert to fraction form
    7,769.72/11,656.68 = 2,575.64/x
  3. Step 3: Cross multiply
    7,769.72x = 11,656.68 × 2,575.64
  4. Step 4: Simplify right side
    7,769.72x = 30,023,411.28
  5. Step 5: Solve for x
    x = 30,023,411.28/7,769.72
  6. Step 6: Final answer
    x = 3,864.16

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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.