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Finding the Fourth Proportional to 10,297.17, 14,211.61 and 6,520.68

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Solution

The fourth proportional to 10,297.17, 14,211.61 and 6,520.68 is: 8,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.17 : 14,211.61 = 6,520.68 : x
  2. Step 2: Convert to fraction form
    10,297.17/14,211.61 = 6,520.68/x
  3. Step 3: Cross multiply
    10,297.17x = 14,211.61 × 6,520.68
  4. Step 4: Simplify right side
    10,297.17x = 92,669,309.26
  5. Step 5: Solve for x
    x = 92,669,309.26/10,297.17
  6. Step 6: Final answer
    x = 8,999.50

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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.