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Finding the Fourth Proportional to 8,129.66, 11,215.20 and 7,131.93

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Solution

The fourth proportional to 8,129.66, 11,215.20 and 7,131.93 is: 9,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.66 : 11,215.20 = 7,131.93 : x
  2. Step 2: Convert to fraction form
    8,129.66/11,215.20 = 7,131.93/x
  3. Step 3: Cross multiply
    8,129.66x = 11,215.20 × 7,131.93
  4. Step 4: Simplify right side
    8,129.66x = 79,986,021.34
  5. Step 5: Solve for x
    x = 79,986,021.34/8,129.66
  6. Step 6: Final answer
    x = 9,838.80

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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.