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Finding the Fourth Proportional to 11,659.95, 16,096.12 and 6,878.27

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Solution

The fourth proportional to 11,659.95, 16,096.12 and 6,878.27 is: 9,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,659.95 : 16,096.12 = 6,878.27 : x
  2. Step 2: Convert to fraction form
    11,659.95/16,096.12 = 6,878.27/x
  3. Step 3: Cross multiply
    11,659.95x = 16,096.12 × 6,878.27
  4. Step 4: Simplify right side
    11,659.95x = 110,713,482.36
  5. Step 5: Solve for x
    x = 110,713,482.36/11,659.95
  6. Step 6: Final answer
    x = 9,495.19

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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.