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Finding the Fourth Proportional to 11,781.75, 16,250.64 and 8,002.80

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Solution

The fourth proportional to 11,781.75, 16,250.64 and 8,002.80 is: 11,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.75 : 16,250.64 = 8,002.80 : x
  2. Step 2: Convert to fraction form
    11,781.75/16,250.64 = 8,002.80/x
  3. Step 3: Cross multiply
    11,781.75x = 16,250.64 × 8,002.80
  4. Step 4: Simplify right side
    11,781.75x = 130,050,621.79
  5. Step 5: Solve for x
    x = 130,050,621.79/11,781.75
  6. Step 6: Final answer
    x = 11,038.31

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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.