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Finding the Fourth Proportional to 10,535.43, 14,537.66 and 5,819.43

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Solution

The fourth proportional to 10,535.43, 14,537.66 and 5,819.43 is: 8,030.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.43 : 14,537.66 = 5,819.43 : x
  2. Step 2: Convert to fraction form
    10,535.43/14,537.66 = 5,819.43/x
  3. Step 3: Cross multiply
    10,535.43x = 14,537.66 × 5,819.43
  4. Step 4: Simplify right side
    10,535.43x = 84,600,865.64
  5. Step 5: Solve for x
    x = 84,600,865.64/10,535.43
  6. Step 6: Final answer
    x = 8,030.13

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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.