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Finding the Fourth Proportional to 7,974.12, 11,002.32 and 5,178

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Solution

The fourth proportional to 7,974.12, 11,002.32 and 5,178 is: 7,144.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.12 : 11,002.32 = 5,178 : x
  2. Step 2: Convert to fraction form
    7,974.12/11,002.32 = 5,178/x
  3. Step 3: Cross multiply
    7,974.12x = 11,002.32 × 5,178
  4. Step 4: Simplify right side
    7,974.12x = 56,970,012.96
  5. Step 5: Solve for x
    x = 56,970,012.96/7,974.12
  6. Step 6: Final answer
    x = 7,144.36

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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.