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Finding the Fourth Proportional to 10,715.70, 16,071.03 and 2,922.66

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Solution

The fourth proportional to 10,715.70, 16,071.03 and 2,922.66 is: 4,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.70 : 16,071.03 = 2,922.66 : x
  2. Step 2: Convert to fraction form
    10,715.70/16,071.03 = 2,922.66/x
  3. Step 3: Cross multiply
    10,715.70x = 16,071.03 × 2,922.66
  4. Step 4: Simplify right side
    10,715.70x = 46,970,156.54
  5. Step 5: Solve for x
    x = 46,970,156.54/10,715.70
  6. Step 6: Final answer
    x = 4,383.30

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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.