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Finding the Fourth Proportional to 10,454.16, 14,424.44 and 6,626.90

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Solution

The fourth proportional to 10,454.16, 14,424.44 and 6,626.90 is: 9,143.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.16 : 14,424.44 = 6,626.90 : x
  2. Step 2: Convert to fraction form
    10,454.16/14,424.44 = 6,626.90/x
  3. Step 3: Cross multiply
    10,454.16x = 14,424.44 × 6,626.90
  4. Step 4: Simplify right side
    10,454.16x = 95,589,321.44
  5. Step 5: Solve for x
    x = 95,589,321.44/10,454.16
  6. Step 6: Final answer
    x = 9,143.66

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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.