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Finding the Fourth Proportional to 10,729.80, 14,806.89 and 6,013.98

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Solution

The fourth proportional to 10,729.80, 14,806.89 and 6,013.98 is: 8,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729.80 : 14,806.89 = 6,013.98 : x
  2. Step 2: Convert to fraction form
    10,729.80/14,806.89 = 6,013.98/x
  3. Step 3: Cross multiply
    10,729.80x = 14,806.89 × 6,013.98
  4. Step 4: Simplify right side
    10,729.80x = 89,048,340.32
  5. Step 5: Solve for x
    x = 89,048,340.32/10,729.80
  6. Step 6: Final answer
    x = 8,299.16

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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.