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Finding the Fourth Proportional to 11,435.18, 15,778.98 and 6,399.18

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Solution

The fourth proportional to 11,435.18, 15,778.98 and 6,399.18 is: 8,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.18 : 15,778.98 = 6,399.18 : x
  2. Step 2: Convert to fraction form
    11,435.18/15,778.98 = 6,399.18/x
  3. Step 3: Cross multiply
    11,435.18x = 15,778.98 × 6,399.18
  4. Step 4: Simplify right side
    11,435.18x = 100,972,533.24
  5. Step 5: Solve for x
    x = 100,972,533.24/11,435.18
  6. Step 6: Final answer
    x = 8,829.99

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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.