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Finding the Fourth Proportional to 8,070.38, 11,137.73 and 4,927.17

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Solution

The fourth proportional to 8,070.38, 11,137.73 and 4,927.17 is: 6,799.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,070.38 : 11,137.73 = 4,927.17 : x
  2. Step 2: Convert to fraction form
    8,070.38/11,137.73 = 4,927.17/x
  3. Step 3: Cross multiply
    8,070.38x = 11,137.73 × 4,927.17
  4. Step 4: Simplify right side
    8,070.38x = 54,877,464.49
  5. Step 5: Solve for x
    x = 54,877,464.49/8,070.38
  6. Step 6: Final answer
    x = 6,799.87

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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.