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Finding the Fourth Proportional to 10,689.36, 14,704.44 and 8,695.56

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Solution

The fourth proportional to 10,689.36, 14,704.44 and 8,695.56 is: 11,961.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.36 : 14,704.44 = 8,695.56 : x
  2. Step 2: Convert to fraction form
    10,689.36/14,704.44 = 8,695.56/x
  3. Step 3: Cross multiply
    10,689.36x = 14,704.44 × 8,695.56
  4. Step 4: Simplify right side
    10,689.36x = 127,863,340.29
  5. Step 5: Solve for x
    x = 127,863,340.29/10,689.36
  6. Step 6: Final answer
    x = 11,961.74

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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.