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Finding the Fourth Proportional to 7,188.66, 10,774.11 and 3,027.21

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Solution

The fourth proportional to 7,188.66, 10,774.11 and 3,027.21 is: 4,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,188.66 : 10,774.11 = 3,027.21 : x
  2. Step 2: Convert to fraction form
    7,188.66/10,774.11 = 3,027.21/x
  3. Step 3: Cross multiply
    7,188.66x = 10,774.11 × 3,027.21
  4. Step 4: Simplify right side
    7,188.66x = 32,615,493.53
  5. Step 5: Solve for x
    x = 32,615,493.53/7,188.66
  6. Step 6: Final answer
    x = 4,537.08

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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.