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Finding the Fourth Proportional to 7,644.77, 11,441.63 and 4,356.98

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Solution

The fourth proportional to 7,644.77, 11,441.63 and 4,356.98 is: 6,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.77 : 11,441.63 = 4,356.98 : x
  2. Step 2: Convert to fraction form
    7,644.77/11,441.63 = 4,356.98/x
  3. Step 3: Cross multiply
    7,644.77x = 11,441.63 × 4,356.98
  4. Step 4: Simplify right side
    7,644.77x = 49,850,874.08
  5. Step 5: Solve for x
    x = 49,850,874.08/7,644.77
  6. Step 6: Final answer
    x = 6,520.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.