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Finding the Fourth Proportional to 11,746.72, 16,221.36 and 7,562.24

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Solution

The fourth proportional to 11,746.72, 16,221.36 and 7,562.24 is: 10,442.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.72 : 16,221.36 = 7,562.24 : x
  2. Step 2: Convert to fraction form
    11,746.72/16,221.36 = 7,562.24/x
  3. Step 3: Cross multiply
    11,746.72x = 16,221.36 × 7,562.24
  4. Step 4: Simplify right side
    11,746.72x = 122,669,817.45
  5. Step 5: Solve for x
    x = 122,669,817.45/11,746.72
  6. Step 6: Final answer
    x = 10,442.90

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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.