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Finding the Fourth Proportional to 8,838.86, 13,229.12 and 7,866.86

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Solution

The fourth proportional to 8,838.86, 13,229.12 and 7,866.86 is: 11,774.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,838.86 : 13,229.12 = 7,866.86 : x
  2. Step 2: Convert to fraction form
    8,838.86/13,229.12 = 7,866.86/x
  3. Step 3: Cross multiply
    8,838.86x = 13,229.12 × 7,866.86
  4. Step 4: Simplify right side
    8,838.86x = 104,071,588.48
  5. Step 5: Solve for x
    x = 104,071,588.48/8,838.86
  6. Step 6: Final answer
    x = 11,774.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.