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Finding the Fourth Proportional to 7,760, 11,644.04 and 4,252.56

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Solution

The fourth proportional to 7,760, 11,644.04 and 4,252.56 is: 6,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 11,644.04 = 4,252.56 : x
  2. Step 2: Convert to fraction form
    7,760/11,644.04 = 4,252.56/x
  3. Step 3: Cross multiply
    7,760x = 11,644.04 × 4,252.56
  4. Step 4: Simplify right side
    7,760x = 49,516,978.74
  5. Step 5: Solve for x
    x = 49,516,978.74/7,760
  6. Step 6: Final answer
    x = 6,381.05

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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.