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Finding the Fourth Proportional to 11,262.64, 15,542.72 and 6,226.93

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Solution

The fourth proportional to 11,262.64, 15,542.72 and 6,226.93 is: 8,593.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.64 : 15,542.72 = 6,226.93 : x
  2. Step 2: Convert to fraction form
    11,262.64/15,542.72 = 6,226.93/x
  3. Step 3: Cross multiply
    11,262.64x = 15,542.72 × 6,226.93
  4. Step 4: Simplify right side
    11,262.64x = 96,783,429.45
  5. Step 5: Solve for x
    x = 96,783,429.45/11,262.64
  6. Step 6: Final answer
    x = 8,593.32

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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.