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Finding the Fourth Proportional to 10,757.81, 16,140.86 and 5,210.73

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Solution

The fourth proportional to 10,757.81, 16,140.86 and 5,210.73 is: 7,818.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,757.81 : 16,140.86 = 5,210.73 : x
  2. Step 2: Convert to fraction form
    10,757.81/16,140.86 = 5,210.73/x
  3. Step 3: Cross multiply
    10,757.81x = 16,140.86 × 5,210.73
  4. Step 4: Simplify right side
    10,757.81x = 84,105,637.37
  5. Step 5: Solve for x
    x = 84,105,637.37/10,757.81
  6. Step 6: Final answer
    x = 7,818.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.