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Finding the Fourth Proportional to 11,719.66, 16,173.14 and 6,414.49

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Solution

The fourth proportional to 11,719.66, 16,173.14 and 6,414.49 is: 8,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.66 : 16,173.14 = 6,414.49 : x
  2. Step 2: Convert to fraction form
    11,719.66/16,173.14 = 6,414.49/x
  3. Step 3: Cross multiply
    11,719.66x = 16,173.14 × 6,414.49
  4. Step 4: Simplify right side
    11,719.66x = 103,742,444.80
  5. Step 5: Solve for x
    x = 103,742,444.80/11,719.66
  6. Step 6: Final answer
    x = 8,852.00

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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.