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Finding the Fourth Proportional to 8,129.76, 11,203.02 and 5,767.80

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Solution

The fourth proportional to 8,129.76, 11,203.02 and 5,767.80 is: 7,948.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.76 : 11,203.02 = 5,767.80 : x
  2. Step 2: Convert to fraction form
    8,129.76/11,203.02 = 5,767.80/x
  3. Step 3: Cross multiply
    8,129.76x = 11,203.02 × 5,767.80
  4. Step 4: Simplify right side
    8,129.76x = 64,616,778.76
  5. Step 5: Solve for x
    x = 64,616,778.76/8,129.76
  6. Step 6: Final answer
    x = 7,948.18

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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.