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Finding the Fourth Proportional to 10,205.19, 14,082.80 and 5,729.19

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Solution

The fourth proportional to 10,205.19, 14,082.80 and 5,729.19 is: 7,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.19 : 14,082.80 = 5,729.19 : x
  2. Step 2: Convert to fraction form
    10,205.19/14,082.80 = 5,729.19/x
  3. Step 3: Cross multiply
    10,205.19x = 14,082.80 × 5,729.19
  4. Step 4: Simplify right side
    10,205.19x = 80,683,008.29
  5. Step 5: Solve for x
    x = 80,683,008.29/10,205.19
  6. Step 6: Final answer
    x = 7,906.08

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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.