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Finding the Fourth Proportional to 10,012.50, 13,818.06 and 5,821.56

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Solution

The fourth proportional to 10,012.50, 13,818.06 and 5,821.56 is: 8,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.50 : 13,818.06 = 5,821.56 : x
  2. Step 2: Convert to fraction form
    10,012.50/13,818.06 = 5,821.56/x
  3. Step 3: Cross multiply
    10,012.50x = 13,818.06 × 5,821.56
  4. Step 4: Simplify right side
    10,012.50x = 80,442,665.37
  5. Step 5: Solve for x
    x = 80,442,665.37/10,012.50
  6. Step 6: Final answer
    x = 8,034.22

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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.