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Finding the Fourth Proportional to 7,962.58, 10,982.90 and 4,773.66

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Solution

The fourth proportional to 7,962.58, 10,982.90 and 4,773.66 is: 6,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.58 : 10,982.90 = 4,773.66 : x
  2. Step 2: Convert to fraction form
    7,962.58/10,982.90 = 4,773.66/x
  3. Step 3: Cross multiply
    7,962.58x = 10,982.90 × 4,773.66
  4. Step 4: Simplify right side
    7,962.58x = 52,428,630.41
  5. Step 5: Solve for x
    x = 52,428,630.41/7,962.58
  6. Step 6: Final answer
    x = 6,584.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.