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Finding the Fourth Proportional to 7,180.98, 9,910.65 and 4,037.18

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Solution

The fourth proportional to 7,180.98, 9,910.65 and 4,037.18 is: 5,571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.98 : 9,910.65 = 4,037.18 : x
  2. Step 2: Convert to fraction form
    7,180.98/9,910.65 = 4,037.18/x
  3. Step 3: Cross multiply
    7,180.98x = 9,910.65 × 4,037.18
  4. Step 4: Simplify right side
    7,180.98x = 40,011,028.41
  5. Step 5: Solve for x
    x = 40,011,028.41/7,180.98
  6. Step 6: Final answer
    x = 5,571.81

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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.