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Finding the Fourth Proportional to 11,812.88, 16,319.40 and 9,540.83

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Solution

The fourth proportional to 11,812.88, 16,319.40 and 9,540.83 is: 13,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.88 : 16,319.40 = 9,540.83 : x
  2. Step 2: Convert to fraction form
    11,812.88/16,319.40 = 9,540.83/x
  3. Step 3: Cross multiply
    11,812.88x = 16,319.40 × 9,540.83
  4. Step 4: Simplify right side
    11,812.88x = 155,700,621.10
  5. Step 5: Solve for x
    x = 155,700,621.10/11,812.88
  6. Step 6: Final answer
    x = 13,180.58

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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.