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Finding the Fourth Proportional to 11,223.60, 16,816.86 and 6,827.76

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Solution

The fourth proportional to 11,223.60, 16,816.86 and 6,827.76 is: 10,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.60 : 16,816.86 = 6,827.76 : x
  2. Step 2: Convert to fraction form
    11,223.60/16,816.86 = 6,827.76/x
  3. Step 3: Cross multiply
    11,223.60x = 16,816.86 × 6,827.76
  4. Step 4: Simplify right side
    11,223.60x = 114,821,484.03
  5. Step 5: Solve for x
    x = 114,821,484.03/11,223.60
  6. Step 6: Final answer
    x = 10,230.36

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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.