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Finding the Fourth Proportional to 7,180.06, 9,909.24 and 4,196.86

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Solution

The fourth proportional to 7,180.06, 9,909.24 and 4,196.86 is: 5,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.06 : 9,909.24 = 4,196.86 : x
  2. Step 2: Convert to fraction form
    7,180.06/9,909.24 = 4,196.86/x
  3. Step 3: Cross multiply
    7,180.06x = 9,909.24 × 4,196.86
  4. Step 4: Simplify right side
    7,180.06x = 41,587,692.99
  5. Step 5: Solve for x
    x = 41,587,692.99/7,180.06
  6. Step 6: Final answer
    x = 5,792.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.