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Finding the Fourth Proportional to 10,520.99, 14,524.23 and 6,543.38

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Solution

The fourth proportional to 10,520.99, 14,524.23 and 6,543.38 is: 9,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.99 : 14,524.23 = 6,543.38 : x
  2. Step 2: Convert to fraction form
    10,520.99/14,524.23 = 6,543.38/x
  3. Step 3: Cross multiply
    10,520.99x = 14,524.23 × 6,543.38
  4. Step 4: Simplify right side
    10,520.99x = 95,037,567.87
  5. Step 5: Solve for x
    x = 95,037,567.87/10,520.99
  6. Step 6: Final answer
    x = 9,033.14

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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.