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Finding the Fourth Proportional to 11,288.08, 15,578.36 and 6,811.58

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Solution

The fourth proportional to 11,288.08, 15,578.36 and 6,811.58 is: 9,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.08 : 15,578.36 = 6,811.58 : x
  2. Step 2: Convert to fraction form
    11,288.08/15,578.36 = 6,811.58/x
  3. Step 3: Cross multiply
    11,288.08x = 15,578.36 × 6,811.58
  4. Step 4: Simplify right side
    11,288.08x = 106,113,245.41
  5. Step 5: Solve for x
    x = 106,113,245.41/11,288.08
  6. Step 6: Final answer
    x = 9,400.47

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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.