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Finding the Fourth Proportional to 10,709.46, 16,064.36 and 3,313.82

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Solution

The fourth proportional to 10,709.46, 16,064.36 and 3,313.82 is: 4,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.46 : 16,064.36 = 3,313.82 : x
  2. Step 2: Convert to fraction form
    10,709.46/16,064.36 = 3,313.82/x
  3. Step 3: Cross multiply
    10,709.46x = 16,064.36 × 3,313.82
  4. Step 4: Simplify right side
    10,709.46x = 53,234,397.46
  5. Step 5: Solve for x
    x = 53,234,397.46/10,709.46
  6. Step 6: Final answer
    x = 4,970.78

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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.