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Finding the Fourth Proportional to 10,767.25, 14,859.99 and 6,168.46

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Solution

The fourth proportional to 10,767.25, 14,859.99 and 6,168.46 is: 8,513.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,767.25 : 14,859.99 = 6,168.46 : x
  2. Step 2: Convert to fraction form
    10,767.25/14,859.99 = 6,168.46/x
  3. Step 3: Cross multiply
    10,767.25x = 14,859.99 × 6,168.46
  4. Step 4: Simplify right side
    10,767.25x = 91,663,298.64
  5. Step 5: Solve for x
    x = 91,663,298.64/10,767.25
  6. Step 6: Final answer
    x = 8,513.16

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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.