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Finding the Fourth Proportional to 7,447.84, 11,189.16 and 7,027.52

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Solution

The fourth proportional to 7,447.84, 11,189.16 and 7,027.52 is: 10,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.84 : 11,189.16 = 7,027.52 : x
  2. Step 2: Convert to fraction form
    7,447.84/11,189.16 = 7,027.52/x
  3. Step 3: Cross multiply
    7,447.84x = 11,189.16 × 7,027.52
  4. Step 4: Simplify right side
    7,447.84x = 78,632,045.68
  5. Step 5: Solve for x
    x = 78,632,045.68/7,447.84
  6. Step 6: Final answer
    x = 10,557.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.