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Finding the Fourth Proportional to 10,669.26, 14,720.15 and 5,952.63

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Solution

The fourth proportional to 10,669.26, 14,720.15 and 5,952.63 is: 8,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,669.26 : 14,720.15 = 5,952.63 : x
  2. Step 2: Convert to fraction form
    10,669.26/14,720.15 = 5,952.63/x
  3. Step 3: Cross multiply
    10,669.26x = 14,720.15 × 5,952.63
  4. Step 4: Simplify right side
    10,669.26x = 87,623,621.38
  5. Step 5: Solve for x
    x = 87,623,621.38/10,669.26
  6. Step 6: Final answer
    x = 8,212.72

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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.