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Finding the Fourth Proportional to 10,983.94, 15,157.81 and 5,948.16

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Solution

The fourth proportional to 10,983.94, 15,157.81 and 5,948.16 is: 8,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.94 : 15,157.81 = 5,948.16 : x
  2. Step 2: Convert to fraction form
    10,983.94/15,157.81 = 5,948.16/x
  3. Step 3: Cross multiply
    10,983.94x = 15,157.81 × 5,948.16
  4. Step 4: Simplify right side
    10,983.94x = 90,161,029.72
  5. Step 5: Solve for x
    x = 90,161,029.72/10,983.94
  6. Step 6: Final answer
    x = 8,208.44

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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.