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Finding the Fourth Proportional to 7,147.22, 10,700.22 and 4,176.68

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Solution

The fourth proportional to 7,147.22, 10,700.22 and 4,176.68 is: 6,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.22 : 10,700.22 = 4,176.68 : x
  2. Step 2: Convert to fraction form
    7,147.22/10,700.22 = 4,176.68/x
  3. Step 3: Cross multiply
    7,147.22x = 10,700.22 × 4,176.68
  4. Step 4: Simplify right side
    7,147.22x = 44,691,394.87
  5. Step 5: Solve for x
    x = 44,691,394.87/7,147.22
  6. Step 6: Final answer
    x = 6,252.98

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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.