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Finding the Fourth Proportional to 10,524.53, 14,523.97 and 5,808.81

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Solution

The fourth proportional to 10,524.53, 14,523.97 and 5,808.81 is: 8,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.53 : 14,523.97 = 5,808.81 : x
  2. Step 2: Convert to fraction form
    10,524.53/14,523.97 = 5,808.81/x
  3. Step 3: Cross multiply
    10,524.53x = 14,523.97 × 5,808.81
  4. Step 4: Simplify right side
    10,524.53x = 84,366,953.13
  5. Step 5: Solve for x
    x = 84,366,953.13/10,524.53
  6. Step 6: Final answer
    x = 8,016.22

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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.