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Finding the Fourth Proportional to 7,568.13, 10,438.53 and 5,837.02

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Solution

The fourth proportional to 7,568.13, 10,438.53 and 5,837.02 is: 8,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.13 : 10,438.53 = 5,837.02 : x
  2. Step 2: Convert to fraction form
    7,568.13/10,438.53 = 5,837.02/x
  3. Step 3: Cross multiply
    7,568.13x = 10,438.53 × 5,837.02
  4. Step 4: Simplify right side
    7,568.13x = 60,929,908.38
  5. Step 5: Solve for x
    x = 60,929,908.38/7,568.13
  6. Step 6: Final answer
    x = 8,050.85

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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.