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Finding the Fourth Proportional to 10,505.64, 14,497.74 and 6,029.88

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Solution

The fourth proportional to 10,505.64, 14,497.74 and 6,029.88 is: 8,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.64 : 14,497.74 = 6,029.88 : x
  2. Step 2: Convert to fraction form
    10,505.64/14,497.74 = 6,029.88/x
  3. Step 3: Cross multiply
    10,505.64x = 14,497.74 × 6,029.88
  4. Step 4: Simplify right side
    10,505.64x = 87,419,632.47
  5. Step 5: Solve for x
    x = 87,419,632.47/10,505.64
  6. Step 6: Final answer
    x = 8,321.21

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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.