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Finding the Fourth Proportional to 10,768.08, 16,159.44 and 5,839.20

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Solution

The fourth proportional to 10,768.08, 16,159.44 and 5,839.20 is: 8,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.08 : 16,159.44 = 5,839.20 : x
  2. Step 2: Convert to fraction form
    10,768.08/16,159.44 = 5,839.20/x
  3. Step 3: Cross multiply
    10,768.08x = 16,159.44 × 5,839.20
  4. Step 4: Simplify right side
    10,768.08x = 94,358,202.05
  5. Step 5: Solve for x
    x = 94,358,202.05/10,768.08
  6. Step 6: Final answer
    x = 8,762.77

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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.