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Finding the Fourth Proportional to 10,471.04, 14,450.15 and 5,690.98

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Solution

The fourth proportional to 10,471.04, 14,450.15 and 5,690.98 is: 7,853.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.04 : 14,450.15 = 5,690.98 : x
  2. Step 2: Convert to fraction form
    10,471.04/14,450.15 = 5,690.98/x
  3. Step 3: Cross multiply
    10,471.04x = 14,450.15 × 5,690.98
  4. Step 4: Simplify right side
    10,471.04x = 82,235,504.25
  5. Step 5: Solve for x
    x = 82,235,504.25/10,471.04
  6. Step 6: Final answer
    x = 7,853.61

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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.