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Finding the Fourth Proportional to 11,523.60, 15,901.92 and 6,808.32

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Solution

The fourth proportional to 11,523.60, 15,901.92 and 6,808.32 is: 9,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.60 : 15,901.92 = 6,808.32 : x
  2. Step 2: Convert to fraction form
    11,523.60/15,901.92 = 6,808.32/x
  3. Step 3: Cross multiply
    11,523.60x = 15,901.92 × 6,808.32
  4. Step 4: Simplify right side
    11,523.60x = 108,265,359.97
  5. Step 5: Solve for x
    x = 108,265,359.97/11,523.60
  6. Step 6: Final answer
    x = 9,395.10

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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.