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Finding the Fourth Proportional to 10,037.46, 13,856.94 and 7,794.30

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Solution

The fourth proportional to 10,037.46, 13,856.94 and 7,794.30 is: 10,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.46 : 13,856.94 = 7,794.30 : x
  2. Step 2: Convert to fraction form
    10,037.46/13,856.94 = 7,794.30/x
  3. Step 3: Cross multiply
    10,037.46x = 13,856.94 × 7,794.30
  4. Step 4: Simplify right side
    10,037.46x = 108,005,147.44
  5. Step 5: Solve for x
    x = 108,005,147.44/10,037.46
  6. Step 6: Final answer
    x = 10,760.21

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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.