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Finding the Fourth Proportional to 10,360.62, 14,297.65 and 5,644.90

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Solution

The fourth proportional to 10,360.62, 14,297.65 and 5,644.90 is: 7,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.62 : 14,297.65 = 5,644.90 : x
  2. Step 2: Convert to fraction form
    10,360.62/14,297.65 = 5,644.90/x
  3. Step 3: Cross multiply
    10,360.62x = 14,297.65 × 5,644.90
  4. Step 4: Simplify right side
    10,360.62x = 80,708,804.49
  5. Step 5: Solve for x
    x = 80,708,804.49/10,360.62
  6. Step 6: Final answer
    x = 7,789.96

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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.