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Finding the Fourth Proportional to 11,204.19, 16,784.42 and 8,237.16

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Solution

The fourth proportional to 11,204.19, 16,784.42 and 8,237.16 is: 12,339.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.19 : 16,784.42 = 8,237.16 : x
  2. Step 2: Convert to fraction form
    11,204.19/16,784.42 = 8,237.16/x
  3. Step 3: Cross multiply
    11,204.19x = 16,784.42 × 8,237.16
  4. Step 4: Simplify right side
    11,204.19x = 138,255,911.86
  5. Step 5: Solve for x
    x = 138,255,911.86/11,204.19
  6. Step 6: Final answer
    x = 12,339.66

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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.