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Finding the Fourth Proportional to 11,483.36, 15,847.19 and 6,767.64

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Solution

The fourth proportional to 11,483.36, 15,847.19 and 6,767.64 is: 9,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.36 : 15,847.19 = 6,767.64 : x
  2. Step 2: Convert to fraction form
    11,483.36/15,847.19 = 6,767.64/x
  3. Step 3: Cross multiply
    11,483.36x = 15,847.19 × 6,767.64
  4. Step 4: Simplify right side
    11,483.36x = 107,248,043.09
  5. Step 5: Solve for x
    x = 107,248,043.09/11,483.36
  6. Step 6: Final answer
    x = 9,339.43

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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.