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Finding the Fourth Proportional to 10,827.36, 14,940.72 and 8,594.64

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Solution

The fourth proportional to 10,827.36, 14,940.72 and 8,594.64 is: 11,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.36 : 14,940.72 = 8,594.64 : x
  2. Step 2: Convert to fraction form
    10,827.36/14,940.72 = 8,594.64/x
  3. Step 3: Cross multiply
    10,827.36x = 14,940.72 × 8,594.64
  4. Step 4: Simplify right side
    10,827.36x = 128,410,109.74
  5. Step 5: Solve for x
    x = 128,410,109.74/10,827.36
  6. Step 6: Final answer
    x = 11,859.78

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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.