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Finding the Fourth Proportional to 11,139.12, 16,689.78 and 7,837.02

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Solution

The fourth proportional to 11,139.12, 16,689.78 and 7,837.02 is: 11,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,139.12 : 16,689.78 = 7,837.02 : x
  2. Step 2: Convert to fraction form
    11,139.12/16,689.78 = 7,837.02/x
  3. Step 3: Cross multiply
    11,139.12x = 16,689.78 × 7,837.02
  4. Step 4: Simplify right side
    11,139.12x = 130,798,139.66
  5. Step 5: Solve for x
    x = 130,798,139.66/11,139.12
  6. Step 6: Final answer
    x = 11,742.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.