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Finding the Fourth Proportional to 7,833.87, 10,812.56 and 5,034.51

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Solution

The fourth proportional to 7,833.87, 10,812.56 and 5,034.51 is: 6,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.87 : 10,812.56 = 5,034.51 : x
  2. Step 2: Convert to fraction form
    7,833.87/10,812.56 = 5,034.51/x
  3. Step 3: Cross multiply
    7,833.87x = 10,812.56 × 5,034.51
  4. Step 4: Simplify right side
    7,833.87x = 54,435,916.27
  5. Step 5: Solve for x
    x = 54,435,916.27/7,833.87
  6. Step 6: Final answer
    x = 6,948.79

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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.