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Finding the Fourth Proportional to 10,729.94, 16,082.45 and 4,062.20

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Solution

The fourth proportional to 10,729.94, 16,082.45 and 4,062.20 is: 6,088.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.94 : 16,082.45 = 4,062.20 : x
  2. Step 2: Convert to fraction form
    10,729.94/16,082.45 = 4,062.20/x
  3. Step 3: Cross multiply
    10,729.94x = 16,082.45 × 4,062.20
  4. Step 4: Simplify right side
    10,729.94x = 65,330,027.67
  5. Step 5: Solve for x
    x = 65,330,027.67/10,729.94
  6. Step 6: Final answer
    x = 6,088.58

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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.