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Finding the Fourth Proportional to 8,976.00, 12,386.63 and 4,997.11

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Solution

The fourth proportional to 8,976.00, 12,386.63 and 4,997.11 is: 6,895.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.00 : 12,386.63 = 4,997.11 : x
  2. Step 2: Convert to fraction form
    8,976.00/12,386.63 = 4,997.11/x
  3. Step 3: Cross multiply
    8,976.00x = 12,386.63 × 4,997.11
  4. Step 4: Simplify right side
    8,976.00x = 61,897,371.38
  5. Step 5: Solve for x
    x = 61,897,371.38/8,976.00
  6. Step 6: Final answer
    x = 6,895.88

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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.