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Finding the Fourth Proportional to 7,812.27, 10,769.81 and 4,826.10

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Solution

The fourth proportional to 7,812.27, 10,769.81 and 4,826.10 is: 6,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.27 : 10,769.81 = 4,826.10 : x
  2. Step 2: Convert to fraction form
    7,812.27/10,769.81 = 4,826.10/x
  3. Step 3: Cross multiply
    7,812.27x = 10,769.81 × 4,826.10
  4. Step 4: Simplify right side
    7,812.27x = 51,976,155.91
  5. Step 5: Solve for x
    x = 51,976,155.91/7,812.27
  6. Step 6: Final answer
    x = 6,653.14

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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.