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Finding the Fourth Proportional to 11,365.64, 15,684.74 and 6,329.73

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Solution

The fourth proportional to 11,365.64, 15,684.74 and 6,329.73 is: 8,735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.64 : 15,684.74 = 6,329.73 : x
  2. Step 2: Convert to fraction form
    11,365.64/15,684.74 = 6,329.73/x
  3. Step 3: Cross multiply
    11,365.64x = 15,684.74 × 6,329.73
  4. Step 4: Simplify right side
    11,365.64x = 99,280,169.32
  5. Step 5: Solve for x
    x = 99,280,169.32/11,365.64
  6. Step 6: Final answer
    x = 8,735.11

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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.