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Finding the Fourth Proportional to 11,724.66, 16,180.06 and 6,419.50

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Solution

The fourth proportional to 11,724.66, 16,180.06 and 6,419.50 is: 8,858.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.66 : 16,180.06 = 6,419.50 : x
  2. Step 2: Convert to fraction form
    11,724.66/16,180.06 = 6,419.50/x
  3. Step 3: Cross multiply
    11,724.66x = 16,180.06 × 6,419.50
  4. Step 4: Simplify right side
    11,724.66x = 103,867,895.17
  5. Step 5: Solve for x
    x = 103,867,895.17/11,724.66
  6. Step 6: Final answer
    x = 8,858.93

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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.