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Finding the Fourth Proportional to 7,267.39, 10,890.14 and 5,409.65

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Solution

The fourth proportional to 7,267.39, 10,890.14 and 5,409.65 is: 8,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.39 : 10,890.14 = 5,409.65 : x
  2. Step 2: Convert to fraction form
    7,267.39/10,890.14 = 5,409.65/x
  3. Step 3: Cross multiply
    7,267.39x = 10,890.14 × 5,409.65
  4. Step 4: Simplify right side
    7,267.39x = 58,911,845.85
  5. Step 5: Solve for x
    x = 58,911,845.85/7,267.39
  6. Step 6: Final answer
    x = 8,106.33

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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.