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Finding the Fourth Proportional to 10,037.99, 13,854.72 and 6,680.94

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Solution

The fourth proportional to 10,037.99, 13,854.72 and 6,680.94 is: 9,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.99 : 13,854.72 = 6,680.94 : x
  2. Step 2: Convert to fraction form
    10,037.99/13,854.72 = 6,680.94/x
  3. Step 3: Cross multiply
    10,037.99x = 13,854.72 × 6,680.94
  4. Step 4: Simplify right side
    10,037.99x = 92,562,553.04
  5. Step 5: Solve for x
    x = 92,562,553.04/10,037.99
  6. Step 6: Final answer
    x = 9,221.22

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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.