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Finding the Fourth Proportional to 7,911.64, 11,871.70 and 5,137.66

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Solution

The fourth proportional to 7,911.64, 11,871.70 and 5,137.66 is: 7,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.64 : 11,871.70 = 5,137.66 : x
  2. Step 2: Convert to fraction form
    7,911.64/11,871.70 = 5,137.66/x
  3. Step 3: Cross multiply
    7,911.64x = 11,871.70 × 5,137.66
  4. Step 4: Simplify right side
    7,911.64x = 60,992,758.22
  5. Step 5: Solve for x
    x = 60,992,758.22/7,911.64
  6. Step 6: Final answer
    x = 7,709.24

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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.