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Finding the Fourth Proportional to 12,887.64, 17,781.21 and 7,851.96

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Solution

The fourth proportional to 12,887.64, 17,781.21 and 7,851.96 is: 10,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.64 : 17,781.21 = 7,851.96 : x
  2. Step 2: Convert to fraction form
    12,887.64/17,781.21 = 7,851.96/x
  3. Step 3: Cross multiply
    12,887.64x = 17,781.21 × 7,851.96
  4. Step 4: Simplify right side
    12,887.64x = 139,617,349.67
  5. Step 5: Solve for x
    x = 139,617,349.67/12,887.64
  6. Step 6: Final answer
    x = 10,833.43

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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.