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Finding the Fourth Proportional to 11,651.16, 17,462.87 and 6,710.57

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Solution

The fourth proportional to 11,651.16, 17,462.87 and 6,710.57 is: 10,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.16 : 17,462.87 = 6,710.57 : x
  2. Step 2: Convert to fraction form
    11,651.16/17,462.87 = 6,710.57/x
  3. Step 3: Cross multiply
    11,651.16x = 17,462.87 × 6,710.57
  4. Step 4: Simplify right side
    11,651.16x = 117,185,690.67
  5. Step 5: Solve for x
    x = 117,185,690.67/11,651.16
  6. Step 6: Final answer
    x = 10,057.86

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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.