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Finding the Fourth Proportional to 7,254.31, 9,997.32 and 5,012.18

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Solution

The fourth proportional to 7,254.31, 9,997.32 and 5,012.18 is: 6,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.31 : 9,997.32 = 5,012.18 : x
  2. Step 2: Convert to fraction form
    7,254.31/9,997.32 = 5,012.18/x
  3. Step 3: Cross multiply
    7,254.31x = 9,997.32 × 5,012.18
  4. Step 4: Simplify right side
    7,254.31x = 50,108,373.66
  5. Step 5: Solve for x
    x = 50,108,373.66/7,254.31
  6. Step 6: Final answer
    x = 6,907.39

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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.