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Finding the Fourth Proportional to 7,900.50, 11,857.17 and 4,006.02

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Solution

The fourth proportional to 7,900.50, 11,857.17 and 4,006.02 is: 6,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,900.50 : 11,857.17 = 4,006.02 : x
  2. Step 2: Convert to fraction form
    7,900.50/11,857.17 = 4,006.02/x
  3. Step 3: Cross multiply
    7,900.50x = 11,857.17 × 4,006.02
  4. Step 4: Simplify right side
    7,900.50x = 47,500,060.16
  5. Step 5: Solve for x
    x = 47,500,060.16/7,900.50
  6. Step 6: Final answer
    x = 6,012.29

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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.