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Finding the Fourth Proportional to 11,655.52, 16,084.08 and 6,940.32

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Solution

The fourth proportional to 11,655.52, 16,084.08 and 6,940.32 is: 9,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.52 : 16,084.08 = 6,940.32 : x
  2. Step 2: Convert to fraction form
    11,655.52/16,084.08 = 6,940.32/x
  3. Step 3: Cross multiply
    11,655.52x = 16,084.08 × 6,940.32
  4. Step 4: Simplify right side
    11,655.52x = 111,628,662.11
  5. Step 5: Solve for x
    x = 111,628,662.11/11,655.52
  6. Step 6: Final answer
    x = 9,577.32

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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.