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Finding the Fourth Proportional to 10,689.36, 14,752.71 and 5,974.62

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Solution

The fourth proportional to 10,689.36, 14,752.71 and 5,974.62 is: 8,245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.36 : 14,752.71 = 5,974.62 : x
  2. Step 2: Convert to fraction form
    10,689.36/14,752.71 = 5,974.62/x
  3. Step 3: Cross multiply
    10,689.36x = 14,752.71 × 5,974.62
  4. Step 4: Simplify right side
    10,689.36x = 88,141,836.22
  5. Step 5: Solve for x
    x = 88,141,836.22/10,689.36
  6. Step 6: Final answer
    x = 8,245.75

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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.