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Finding the Fourth Proportional to 10,524.13, 14,524.19 and 5,809.39

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Solution

The fourth proportional to 10,524.13, 14,524.19 and 5,809.39 is: 8,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.13 : 14,524.19 = 5,809.39 : x
  2. Step 2: Convert to fraction form
    10,524.13/14,524.19 = 5,809.39/x
  3. Step 3: Cross multiply
    10,524.13x = 14,524.19 × 5,809.39
  4. Step 4: Simplify right side
    10,524.13x = 84,376,684.14
  5. Step 5: Solve for x
    x = 84,376,684.14/10,524.13
  6. Step 6: Final answer
    x = 8,017.45

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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.