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Finding the Fourth Proportional to 10,310.86, 14,229 and 5,595.22

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Solution

The fourth proportional to 10,310.86, 14,229 and 5,595.22 is: 7,721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.86 : 14,229 = 5,595.22 : x
  2. Step 2: Convert to fraction form
    10,310.86/14,229 = 5,595.22/x
  3. Step 3: Cross multiply
    10,310.86x = 14,229 × 5,595.22
  4. Step 4: Simplify right side
    10,310.86x = 79,614,385.38
  5. Step 5: Solve for x
    x = 79,614,385.38/10,310.86
  6. Step 6: Final answer
    x = 7,721.41

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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.