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Finding the Fourth Proportional to 11,078.88, 15,288.16 and 6,359.84

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Solution

The fourth proportional to 11,078.88, 15,288.16 and 6,359.84 is: 8,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.88 : 15,288.16 = 6,359.84 : x
  2. Step 2: Convert to fraction form
    11,078.88/15,288.16 = 6,359.84/x
  3. Step 3: Cross multiply
    11,078.88x = 15,288.16 × 6,359.84
  4. Step 4: Simplify right side
    11,078.88x = 97,230,251.49
  5. Step 5: Solve for x
    x = 97,230,251.49/11,078.88
  6. Step 6: Final answer
    x = 8,776.18

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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.