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Finding the Fourth Proportional to 11,724.51, 16,179.71 and 6,419.01

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Solution

The fourth proportional to 11,724.51, 16,179.71 and 6,419.01 is: 8,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.51 : 16,179.71 = 6,419.01 : x
  2. Step 2: Convert to fraction form
    11,724.51/16,179.71 = 6,419.01/x
  3. Step 3: Cross multiply
    11,724.51x = 16,179.71 × 6,419.01
  4. Step 4: Simplify right side
    11,724.51x = 103,857,688.19
  5. Step 5: Solve for x
    x = 103,857,688.19/11,724.51
  6. Step 6: Final answer
    x = 8,858.17

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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.