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Finding the Fourth Proportional to 11,734.19, 16,193.18 and 7,019.58

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Solution

The fourth proportional to 11,734.19, 16,193.18 and 7,019.58 is: 9,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,734.19 : 16,193.18 = 7,019.58 : x
  2. Step 2: Convert to fraction form
    11,734.19/16,193.18 = 7,019.58/x
  3. Step 3: Cross multiply
    11,734.19x = 16,193.18 × 7,019.58
  4. Step 4: Simplify right side
    11,734.19x = 113,669,322.46
  5. Step 5: Solve for x
    x = 113,669,322.46/11,734.19
  6. Step 6: Final answer
    x = 9,687.02

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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.