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Finding the Fourth Proportional to 7,180.95, 9,910.63 and 4,037.74

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Solution

The fourth proportional to 7,180.95, 9,910.63 and 4,037.74 is: 5,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.95 : 9,910.63 = 4,037.74 : x
  2. Step 2: Convert to fraction form
    7,180.95/9,910.63 = 4,037.74/x
  3. Step 3: Cross multiply
    7,180.95x = 9,910.63 × 4,037.74
  4. Step 4: Simplify right side
    7,180.95x = 40,016,537.08
  5. Step 5: Solve for x
    x = 40,016,537.08/7,180.95
  6. Step 6: Final answer
    x = 5,572.60

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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.