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Finding the Fourth Proportional to 11,992.32, 16,548.80 and 6,686.10

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Solution

The fourth proportional to 11,992.32, 16,548.80 and 6,686.10 is: 9,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.32 : 16,548.80 = 6,686.10 : x
  2. Step 2: Convert to fraction form
    11,992.32/16,548.80 = 6,686.10/x
  3. Step 3: Cross multiply
    11,992.32x = 16,548.80 × 6,686.10
  4. Step 4: Simplify right side
    11,992.32x = 110,646,931.68
  5. Step 5: Solve for x
    x = 110,646,931.68/11,992.32
  6. Step 6: Final answer
    x = 9,226.48

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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.