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Finding the Fourth Proportional to 10,997.64, 15,175.42 and 6,216.95

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Solution

The fourth proportional to 10,997.64, 15,175.42 and 6,216.95 is: 8,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.64 : 15,175.42 = 6,216.95 : x
  2. Step 2: Convert to fraction form
    10,997.64/15,175.42 = 6,216.95/x
  3. Step 3: Cross multiply
    10,997.64x = 15,175.42 × 6,216.95
  4. Step 4: Simplify right side
    10,997.64x = 94,344,849.77
  5. Step 5: Solve for x
    x = 94,344,849.77/10,997.64
  6. Step 6: Final answer
    x = 8,578.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.