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Finding the Fourth Proportional to 7,812.29, 10,769.73 and 5,570.27

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Solution

The fourth proportional to 7,812.29, 10,769.73 and 5,570.27 is: 7,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.29 : 10,769.73 = 5,570.27 : x
  2. Step 2: Convert to fraction form
    7,812.29/10,769.73 = 5,570.27/x
  3. Step 3: Cross multiply
    7,812.29x = 10,769.73 × 5,570.27
  4. Step 4: Simplify right side
    7,812.29x = 59,990,250.08
  5. Step 5: Solve for x
    x = 59,990,250.08/7,812.29
  6. Step 6: Final answer
    x = 7,678.96

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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.