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Finding the Fourth Proportional to 7,772.34, 11,658.54 and 2,577

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Solution

The fourth proportional to 7,772.34, 11,658.54 and 2,577 is: 3,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.34 : 11,658.54 = 2,577 : x
  2. Step 2: Convert to fraction form
    7,772.34/11,658.54 = 2,577/x
  3. Step 3: Cross multiply
    7,772.34x = 11,658.54 × 2,577
  4. Step 4: Simplify right side
    7,772.34x = 30,044,057.58
  5. Step 5: Solve for x
    x = 30,044,057.58/7,772.34
  6. Step 6: Final answer
    x = 3,865.51

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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.