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Finding the Fourth Proportional to 10,005.60, 13,806.24 and 6,025.92

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Solution

The fourth proportional to 10,005.60, 13,806.24 and 6,025.92 is: 8,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.60 : 13,806.24 = 6,025.92 : x
  2. Step 2: Convert to fraction form
    10,005.60/13,806.24 = 6,025.92/x
  3. Step 3: Cross multiply
    10,005.60x = 13,806.24 × 6,025.92
  4. Step 4: Simplify right side
    10,005.60x = 83,195,297.74
  5. Step 5: Solve for x
    x = 83,195,297.74/10,005.60
  6. Step 6: Final answer
    x = 8,314.87

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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.