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Finding the Fourth Proportional to 8,130.14, 12,193.98 and 3,131.22

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Solution

The fourth proportional to 8,130.14, 12,193.98 and 3,131.22 is: 4,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.14 : 12,193.98 = 3,131.22 : x
  2. Step 2: Convert to fraction form
    8,130.14/12,193.98 = 3,131.22/x
  3. Step 3: Cross multiply
    8,130.14x = 12,193.98 × 3,131.22
  4. Step 4: Simplify right side
    8,130.14x = 38,182,034.06
  5. Step 5: Solve for x
    x = 38,182,034.06/8,130.14
  6. Step 6: Final answer
    x = 4,696.36

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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.