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Finding the Fourth Proportional to 12,773.66, 17,627.30 and 7,108.12

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Solution

The fourth proportional to 12,773.66, 17,627.30 and 7,108.12 is: 9,809.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.66 : 17,627.30 = 7,108.12 : x
  2. Step 2: Convert to fraction form
    12,773.66/17,627.30 = 7,108.12/x
  3. Step 3: Cross multiply
    12,773.66x = 17,627.30 × 7,108.12
  4. Step 4: Simplify right side
    12,773.66x = 125,296,963.68
  5. Step 5: Solve for x
    x = 125,296,963.68/12,773.66
  6. Step 6: Final answer
    x = 9,809.01

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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.