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Finding the Fourth Proportional to 10,505.62, 14,498.22 and 6,029.56

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Solution

The fourth proportional to 10,505.62, 14,498.22 and 6,029.56 is: 8,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.62 : 14,498.22 = 6,029.56 : x
  2. Step 2: Convert to fraction form
    10,505.62/14,498.22 = 6,029.56/x
  3. Step 3: Cross multiply
    10,505.62x = 14,498.22 × 6,029.56
  4. Step 4: Simplify right side
    10,505.62x = 87,417,887.38
  5. Step 5: Solve for x
    x = 87,417,887.38/10,505.62
  6. Step 6: Final answer
    x = 8,321.06

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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.