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Finding the Fourth Proportional to 10,131.74, 15,197.84 and 8,053.18

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Solution

The fourth proportional to 10,131.74, 15,197.84 and 8,053.18 is: 12,079.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.74 : 15,197.84 = 8,053.18 : x
  2. Step 2: Convert to fraction form
    10,131.74/15,197.84 = 8,053.18/x
  3. Step 3: Cross multiply
    10,131.74x = 15,197.84 × 8,053.18
  4. Step 4: Simplify right side
    10,131.74x = 122,390,941.13
  5. Step 5: Solve for x
    x = 122,390,941.13/10,131.74
  6. Step 6: Final answer
    x = 12,079.95

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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.