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Finding the Fourth Proportional to 10,474.72, 15,690.86 and 4,844.39

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Solution

The fourth proportional to 10,474.72, 15,690.86 and 4,844.39 is: 7,256.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.72 : 15,690.86 = 4,844.39 : x
  2. Step 2: Convert to fraction form
    10,474.72/15,690.86 = 4,844.39/x
  3. Step 3: Cross multiply
    10,474.72x = 15,690.86 × 4,844.39
  4. Step 4: Simplify right side
    10,474.72x = 76,012,645.28
  5. Step 5: Solve for x
    x = 76,012,645.28/10,474.72
  6. Step 6: Final answer
    x = 7,256.77

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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.