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Finding the Fourth Proportional to 7,834.69, 10,812.78 and 4,690.88

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Solution

The fourth proportional to 7,834.69, 10,812.78 and 4,690.88 is: 6,473.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834.69 : 10,812.78 = 4,690.88 : x
  2. Step 2: Convert to fraction form
    7,834.69/10,812.78 = 4,690.88/x
  3. Step 3: Cross multiply
    7,834.69x = 10,812.78 × 4,690.88
  4. Step 4: Simplify right side
    7,834.69x = 50,721,453.45
  5. Step 5: Solve for x
    x = 50,721,453.45/7,834.69
  6. Step 6: Final answer
    x = 6,473.96

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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.