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Finding the Fourth Proportional to 10,651.32, 14,698.26 and 5,935.14

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Solution

The fourth proportional to 10,651.32, 14,698.26 and 5,935.14 is: 8,190.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.32 : 14,698.26 = 5,935.14 : x
  2. Step 2: Convert to fraction form
    10,651.32/14,698.26 = 5,935.14/x
  3. Step 3: Cross multiply
    10,651.32x = 14,698.26 × 5,935.14
  4. Step 4: Simplify right side
    10,651.32x = 87,236,230.86
  5. Step 5: Solve for x
    x = 87,236,230.86/10,651.32
  6. Step 6: Final answer
    x = 8,190.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.