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Finding the Fourth Proportional to 7,098.96, 10,644.32 and 2,716.72

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Solution

The fourth proportional to 7,098.96, 10,644.32 and 2,716.72 is: 4,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.96 : 10,644.32 = 2,716.72 : x
  2. Step 2: Convert to fraction form
    7,098.96/10,644.32 = 2,716.72/x
  3. Step 3: Cross multiply
    7,098.96x = 10,644.32 × 2,716.72
  4. Step 4: Simplify right side
    7,098.96x = 28,917,637.03
  5. Step 5: Solve for x
    x = 28,917,637.03/7,098.96
  6. Step 6: Final answer
    x = 4,073.50

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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.