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Finding the Fourth Proportional to 7,523.38, 10,378.99 and 4,537.56

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Solution

The fourth proportional to 7,523.38, 10,378.99 and 4,537.56 is: 6,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.38 : 10,378.99 = 4,537.56 : x
  2. Step 2: Convert to fraction form
    7,523.38/10,378.99 = 4,537.56/x
  3. Step 3: Cross multiply
    7,523.38x = 10,378.99 × 4,537.56
  4. Step 4: Simplify right side
    7,523.38x = 47,095,226.63
  5. Step 5: Solve for x
    x = 47,095,226.63/7,523.38
  6. Step 6: Final answer
    x = 6,259.85

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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.