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Finding the Fourth Proportional to 7,627.98, 11,395.74 and 4,832.28

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Solution

The fourth proportional to 7,627.98, 11,395.74 and 4,832.28 is: 7,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.98 : 11,395.74 = 4,832.28 : x
  2. Step 2: Convert to fraction form
    7,627.98/11,395.74 = 4,832.28/x
  3. Step 3: Cross multiply
    7,627.98x = 11,395.74 × 4,832.28
  4. Step 4: Simplify right side
    7,627.98x = 55,067,406.49
  5. Step 5: Solve for x
    x = 55,067,406.49/7,627.98
  6. Step 6: Final answer
    x = 7,219.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.