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Finding the Fourth Proportional to 10,019.97, 13,833.83 and 6,436.37

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Solution

The fourth proportional to 10,019.97, 13,833.83 and 6,436.37 is: 8,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.97 : 13,833.83 = 6,436.37 : x
  2. Step 2: Convert to fraction form
    10,019.97/13,833.83 = 6,436.37/x
  3. Step 3: Cross multiply
    10,019.97x = 13,833.83 × 6,436.37
  4. Step 4: Simplify right side
    10,019.97x = 89,039,699.07
  5. Step 5: Solve for x
    x = 89,039,699.07/10,019.97
  6. Step 6: Final answer
    x = 8,886.22

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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.