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Finding the Fourth Proportional to 11,987.64, 16,530.06 and 8,401.46

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Solution

The fourth proportional to 11,987.64, 16,530.06 and 8,401.46 is: 11,584.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.64 : 16,530.06 = 8,401.46 : x
  2. Step 2: Convert to fraction form
    11,987.64/16,530.06 = 8,401.46/x
  3. Step 3: Cross multiply
    11,987.64x = 16,530.06 × 8,401.46
  4. Step 4: Simplify right side
    11,987.64x = 138,876,637.89
  5. Step 5: Solve for x
    x = 138,876,637.89/11,987.64
  6. Step 6: Final answer
    x = 11,584.99

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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.