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Finding the Fourth Proportional to 10,689.70, 16,037.78 and 5,141.46

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Solution

The fourth proportional to 10,689.70, 16,037.78 and 5,141.46 is: 7,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.70 : 16,037.78 = 5,141.46 : x
  2. Step 2: Convert to fraction form
    10,689.70/16,037.78 = 5,141.46/x
  3. Step 3: Cross multiply
    10,689.70x = 16,037.78 × 5,141.46
  4. Step 4: Simplify right side
    10,689.70x = 82,457,604.36
  5. Step 5: Solve for x
    x = 82,457,604.36/10,689.70
  6. Step 6: Final answer
    x = 7,713.74

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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.