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Finding the Fourth Proportional to 10,665.50, 14,718.39 and 5,949.78

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Solution

The fourth proportional to 10,665.50, 14,718.39 and 5,949.78 is: 8,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.50 : 14,718.39 = 5,949.78 : x
  2. Step 2: Convert to fraction form
    10,665.50/14,718.39 = 5,949.78/x
  3. Step 3: Cross multiply
    10,665.50x = 14,718.39 × 5,949.78
  4. Step 4: Simplify right side
    10,665.50x = 87,571,182.45
  5. Step 5: Solve for x
    x = 87,571,182.45/10,665.50
  6. Step 6: Final answer
    x = 8,210.70

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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.