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Finding the Fourth Proportional to 11,552.12, 15,941.99 and 6,447.87

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Solution

The fourth proportional to 11,552.12, 15,941.99 and 6,447.87 is: 8,898.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.12 : 15,941.99 = 6,447.87 : x
  2. Step 2: Convert to fraction form
    11,552.12/15,941.99 = 6,447.87/x
  3. Step 3: Cross multiply
    11,552.12x = 15,941.99 × 6,447.87
  4. Step 4: Simplify right side
    11,552.12x = 102,791,845.21
  5. Step 5: Solve for x
    x = 102,791,845.21/11,552.12
  6. Step 6: Final answer
    x = 8,898.09

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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.