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Finding the Fourth Proportional to 8,526.65, 11,757.38 and 5,838.31

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Solution

The fourth proportional to 8,526.65, 11,757.38 and 5,838.31 is: 8,050.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.65 : 11,757.38 = 5,838.31 : x
  2. Step 2: Convert to fraction form
    8,526.65/11,757.38 = 5,838.31/x
  3. Step 3: Cross multiply
    8,526.65x = 11,757.38 × 5,838.31
  4. Step 4: Simplify right side
    8,526.65x = 68,643,170.64
  5. Step 5: Solve for x
    x = 68,643,170.64/8,526.65
  6. Step 6: Final answer
    x = 8,050.42

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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.