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Finding the Fourth Proportional to 12,883.02, 17,778.22 and 7,578.16

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Solution

The fourth proportional to 12,883.02, 17,778.22 and 7,578.16 is: 10,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.02 : 17,778.22 = 7,578.16 : x
  2. Step 2: Convert to fraction form
    12,883.02/17,778.22 = 7,578.16/x
  3. Step 3: Cross multiply
    12,883.02x = 17,778.22 × 7,578.16
  4. Step 4: Simplify right side
    12,883.02x = 134,726,195.68
  5. Step 5: Solve for x
    x = 134,726,195.68/12,883.02
  6. Step 6: Final answer
    x = 10,457.66

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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.