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Finding the Fourth Proportional to 7,115.86, 10,674.87 and 3,417.38

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Solution

The fourth proportional to 7,115.86, 10,674.87 and 3,417.38 is: 5,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.86 : 10,674.87 = 3,417.38 : x
  2. Step 2: Convert to fraction form
    7,115.86/10,674.87 = 3,417.38/x
  3. Step 3: Cross multiply
    7,115.86x = 10,674.87 × 3,417.38
  4. Step 4: Simplify right side
    7,115.86x = 36,480,087.24
  5. Step 5: Solve for x
    x = 36,480,087.24/7,115.86
  6. Step 6: Final answer
    x = 5,126.59

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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.