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Finding the Fourth Proportional to 7,173.41, 10,752.71 and 5,194.13

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Solution

The fourth proportional to 7,173.41, 10,752.71 and 5,194.13 is: 7,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,173.41 : 10,752.71 = 5,194.13 : x
  2. Step 2: Convert to fraction form
    7,173.41/10,752.71 = 5,194.13/x
  3. Step 3: Cross multiply
    7,173.41x = 10,752.71 × 5,194.13
  4. Step 4: Simplify right side
    7,173.41x = 55,850,999.19
  5. Step 5: Solve for x
    x = 55,850,999.19/7,173.41
  6. Step 6: Final answer
    x = 7,785.84

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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.