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Finding the Fourth Proportional to 10,370.99, 14,311.49 and 6,344.51

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Solution

The fourth proportional to 10,370.99, 14,311.49 and 6,344.51 is: 8,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,370.99 : 14,311.49 = 6,344.51 : x
  2. Step 2: Convert to fraction form
    10,370.99/14,311.49 = 6,344.51/x
  3. Step 3: Cross multiply
    10,370.99x = 14,311.49 × 6,344.51
  4. Step 4: Simplify right side
    10,370.99x = 90,799,395.48
  5. Step 5: Solve for x
    x = 90,799,395.48/10,370.99
  6. Step 6: Final answer
    x = 8,755.14

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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.