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Finding the Fourth Proportional to 11,807.27, 16,282.80 and 9,114.20

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Solution

The fourth proportional to 11,807.27, 16,282.80 and 9,114.20 is: 12,568.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.27 : 16,282.80 = 9,114.20 : x
  2. Step 2: Convert to fraction form
    11,807.27/16,282.80 = 9,114.20/x
  3. Step 3: Cross multiply
    11,807.27x = 16,282.80 × 9,114.20
  4. Step 4: Simplify right side
    11,807.27x = 148,404,614.35
  5. Step 5: Solve for x
    x = 148,404,614.35/11,807.27
  6. Step 6: Final answer
    x = 12,568.92

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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.