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Finding the Fourth Proportional to 11,242.02, 15,511.94 and 6,994.20

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Solution

The fourth proportional to 11,242.02, 15,511.94 and 6,994.20 is: 9,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.02 : 15,511.94 = 6,994.20 : x
  2. Step 2: Convert to fraction form
    11,242.02/15,511.94 = 6,994.20/x
  3. Step 3: Cross multiply
    11,242.02x = 15,511.94 × 6,994.20
  4. Step 4: Simplify right side
    11,242.02x = 108,493,610.75
  5. Step 5: Solve for x
    x = 108,493,610.75/11,242.02
  6. Step 6: Final answer
    x = 9,650.72

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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.