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Finding the Fourth Proportional to 11,719.48, 16,172.48 and 6,414.18

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Solution

The fourth proportional to 11,719.48, 16,172.48 and 6,414.18 is: 8,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.48 : 16,172.48 = 6,414.18 : x
  2. Step 2: Convert to fraction form
    11,719.48/16,172.48 = 6,414.18/x
  3. Step 3: Cross multiply
    11,719.48x = 16,172.48 × 6,414.18
  4. Step 4: Simplify right side
    11,719.48x = 103,733,197.77
  5. Step 5: Solve for x
    x = 103,733,197.77/11,719.48
  6. Step 6: Final answer
    x = 8,851.35

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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.