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Finding the Fourth Proportional to 8,774.72, 12,107.42 and 4,997.80

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Solution

The fourth proportional to 8,774.72, 12,107.42 and 4,997.80 is: 6,896.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.72 : 12,107.42 = 4,997.80 : x
  2. Step 2: Convert to fraction form
    8,774.72/12,107.42 = 4,997.80/x
  3. Step 3: Cross multiply
    8,774.72x = 12,107.42 × 4,997.80
  4. Step 4: Simplify right side
    8,774.72x = 60,510,462.37
  5. Step 5: Solve for x
    x = 60,510,462.37/8,774.72
  6. Step 6: Final answer
    x = 6,896.00

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