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Finding the Fourth Proportional to 10,983.99, 15,157.84 and 5,948.10

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Solution

The fourth proportional to 10,983.99, 15,157.84 and 5,948.10 is: 8,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.99 : 15,157.84 = 5,948.10 : x
  2. Step 2: Convert to fraction form
    10,983.99/15,157.84 = 5,948.10/x
  3. Step 3: Cross multiply
    10,983.99x = 15,157.84 × 5,948.10
  4. Step 4: Simplify right side
    10,983.99x = 90,160,348.10
  5. Step 5: Solve for x
    x = 90,160,348.10/10,983.99
  6. Step 6: Final answer
    x = 8,208.34

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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.