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Finding the Fourth Proportional to 7,230.69, 10,838.65 and 4,104.09

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Solution

The fourth proportional to 7,230.69, 10,838.65 and 4,104.09 is: 6,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,230.69 : 10,838.65 = 4,104.09 : x
  2. Step 2: Convert to fraction form
    7,230.69/10,838.65 = 4,104.09/x
  3. Step 3: Cross multiply
    7,230.69x = 10,838.65 × 4,104.09
  4. Step 4: Simplify right side
    7,230.69x = 44,482,795.08
  5. Step 5: Solve for x
    x = 44,482,795.08/7,230.69
  6. Step 6: Final answer
    x = 6,151.94

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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.