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Finding the Fourth Proportional to 10,472.77, 15,709.26 and 3,077.36

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Solution

The fourth proportional to 10,472.77, 15,709.26 and 3,077.36 is: 4,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.77 : 15,709.26 = 3,077.36 : x
  2. Step 2: Convert to fraction form
    10,472.77/15,709.26 = 3,077.36/x
  3. Step 3: Cross multiply
    10,472.77x = 15,709.26 × 3,077.36
  4. Step 4: Simplify right side
    10,472.77x = 48,342,954.42
  5. Step 5: Solve for x
    x = 48,342,954.42/10,472.77
  6. Step 6: Final answer
    x = 4,616.06

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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.