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Finding the Fourth Proportional to 10,580.77, 15,874.26 and 4,736.08

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Solution

The fourth proportional to 10,580.77, 15,874.26 and 4,736.08 is: 7,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.77 : 15,874.26 = 4,736.08 : x
  2. Step 2: Convert to fraction form
    10,580.77/15,874.26 = 4,736.08/x
  3. Step 3: Cross multiply
    10,580.77x = 15,874.26 × 4,736.08
  4. Step 4: Simplify right side
    10,580.77x = 75,181,765.30
  5. Step 5: Solve for x
    x = 75,181,765.30/10,580.77
  6. Step 6: Final answer
    x = 7,105.51

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Why These Related Problems?

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