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Finding the Fourth Proportional to 7,914.46, 11,870.66 and 3,530.90

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Solution

The fourth proportional to 7,914.46, 11,870.66 and 3,530.90 is: 5,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,914.46 : 11,870.66 = 3,530.90 : x
  2. Step 2: Convert to fraction form
    7,914.46/11,870.66 = 3,530.90/x
  3. Step 3: Cross multiply
    7,914.46x = 11,870.66 × 3,530.90
  4. Step 4: Simplify right side
    7,914.46x = 41,914,113.39
  5. Step 5: Solve for x
    x = 41,914,113.39/7,914.46
  6. Step 6: Final answer
    x = 5,295.89

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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.