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Finding the Fourth Proportional to 10,873.56, 16,309.44 and 5,030.16

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Solution

The fourth proportional to 10,873.56, 16,309.44 and 5,030.16 is: 7,544.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.56 : 16,309.44 = 5,030.16 : x
  2. Step 2: Convert to fraction form
    10,873.56/16,309.44 = 5,030.16/x
  3. Step 3: Cross multiply
    10,873.56x = 16,309.44 × 5,030.16
  4. Step 4: Simplify right side
    10,873.56x = 82,039,092.71
  5. Step 5: Solve for x
    x = 82,039,092.71/10,873.56
  6. Step 6: Final answer
    x = 7,544.82

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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.