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Finding the Fourth Proportional to 7,914.93, 11,869.16 and 3,529.40

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Solution

The fourth proportional to 7,914.93, 11,869.16 and 3,529.40 is: 5,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.93 : 11,869.16 = 3,529.40 : x
  2. Step 2: Convert to fraction form
    7,914.93/11,869.16 = 3,529.40/x
  3. Step 3: Cross multiply
    7,914.93x = 11,869.16 × 3,529.40
  4. Step 4: Simplify right side
    7,914.93x = 41,890,936.31
  5. Step 5: Solve for x
    x = 41,890,936.31/7,914.93
  6. Step 6: Final answer
    x = 5,292.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.