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Finding the Fourth Proportional to 11,756.29, 16,223.65 and 6,378.71

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Solution

The fourth proportional to 11,756.29, 16,223.65 and 6,378.71 is: 8,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.29 : 16,223.65 = 6,378.71 : x
  2. Step 2: Convert to fraction form
    11,756.29/16,223.65 = 6,378.71/x
  3. Step 3: Cross multiply
    11,756.29x = 16,223.65 × 6,378.71
  4. Step 4: Simplify right side
    11,756.29x = 103,485,861.43
  5. Step 5: Solve for x
    x = 103,485,861.43/11,756.29
  6. Step 6: Final answer
    x = 8,802.59

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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.