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Finding the Fourth Proportional to 10,382.92, 15,580.60 and 3,809.77

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Solution

The fourth proportional to 10,382.92, 15,580.60 and 3,809.77 is: 5,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,382.92 : 15,580.60 = 3,809.77 : x
  2. Step 2: Convert to fraction form
    10,382.92/15,580.60 = 3,809.77/x
  3. Step 3: Cross multiply
    10,382.92x = 15,580.60 × 3,809.77
  4. Step 4: Simplify right side
    10,382.92x = 59,358,453.99
  5. Step 5: Solve for x
    x = 59,358,453.99/10,382.92
  6. Step 6: Final answer
    x = 5,716.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.