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Finding the Fourth Proportional to 10,767.36, 14,857.92 and 6,579.84

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Solution

The fourth proportional to 10,767.36, 14,857.92 and 6,579.84 is: 9,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.36 : 14,857.92 = 6,579.84 : x
  2. Step 2: Convert to fraction form
    10,767.36/14,857.92 = 6,579.84/x
  3. Step 3: Cross multiply
    10,767.36x = 14,857.92 × 6,579.84
  4. Step 4: Simplify right side
    10,767.36x = 97,762,736.33
  5. Step 5: Solve for x
    x = 97,762,736.33/10,767.36
  6. Step 6: Final answer
    x = 9,079.55

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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.