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Finding the Fourth Proportional to 10,290.86, 14,202.04 and 6,311.43

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Solution

The fourth proportional to 10,290.86, 14,202.04 and 6,311.43 is: 8,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.86 : 14,202.04 = 6,311.43 : x
  2. Step 2: Convert to fraction form
    10,290.86/14,202.04 = 6,311.43/x
  3. Step 3: Cross multiply
    10,290.86x = 14,202.04 × 6,311.43
  4. Step 4: Simplify right side
    10,290.86x = 89,635,181.32
  5. Step 5: Solve for x
    x = 89,635,181.32/10,290.86
  6. Step 6: Final answer
    x = 8,710.17

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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.