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Finding the Fourth Proportional to 12,088.17, 16,680.80 and 6,783.78

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Solution

The fourth proportional to 12,088.17, 16,680.80 and 6,783.78 is: 9,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.17 : 16,680.80 = 6,783.78 : x
  2. Step 2: Convert to fraction form
    12,088.17/16,680.80 = 6,783.78/x
  3. Step 3: Cross multiply
    12,088.17x = 16,680.80 × 6,783.78
  4. Step 4: Simplify right side
    12,088.17x = 113,158,843.51
  5. Step 5: Solve for x
    x = 113,158,843.51/12,088.17
  6. Step 6: Final answer
    x = 9,361.12

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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.