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Finding the Fourth Proportional to 8,307.38, 11,464.18 and 4,770.82

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Solution

The fourth proportional to 8,307.38, 11,464.18 and 4,770.82 is: 6,583.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.38 : 11,464.18 = 4,770.82 : x
  2. Step 2: Convert to fraction form
    8,307.38/11,464.18 = 4,770.82/x
  3. Step 3: Cross multiply
    8,307.38x = 11,464.18 × 4,770.82
  4. Step 4: Simplify right side
    8,307.38x = 54,693,498.64
  5. Step 5: Solve for x
    x = 54,693,498.64/8,307.38
  6. Step 6: Final answer
    x = 6,583.73

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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.