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Finding the Fourth Proportional to 11,752.08, 16,223.34 and 8,920.86

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Solution

The fourth proportional to 11,752.08, 16,223.34 and 8,920.86 is: 12,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.08 : 16,223.34 = 8,920.86 : x
  2. Step 2: Convert to fraction form
    11,752.08/16,223.34 = 8,920.86/x
  3. Step 3: Cross multiply
    11,752.08x = 16,223.34 × 8,920.86
  4. Step 4: Simplify right side
    11,752.08x = 144,726,144.87
  5. Step 5: Solve for x
    x = 144,726,144.87/11,752.08
  6. Step 6: Final answer
    x = 12,314.94

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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.