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Finding the Fourth Proportional to 7,029.70, 10,537.70 and 5,716.15

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Solution

The fourth proportional to 7,029.70, 10,537.70 and 5,716.15 is: 8,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.70 : 10,537.70 = 5,716.15 : x
  2. Step 2: Convert to fraction form
    7,029.70/10,537.70 = 5,716.15/x
  3. Step 3: Cross multiply
    7,029.70x = 10,537.70 × 5,716.15
  4. Step 4: Simplify right side
    7,029.70x = 60,235,018.93
  5. Step 5: Solve for x
    x = 60,235,018.93/7,029.70
  6. Step 6: Final answer
    x = 8,568.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.