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Finding the Fourth Proportional to 10,299.28, 15,436.98 and 4,740.96

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Solution

The fourth proportional to 10,299.28, 15,436.98 and 4,740.96 is: 7,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.28 : 15,436.98 = 4,740.96 : x
  2. Step 2: Convert to fraction form
    10,299.28/15,436.98 = 4,740.96/x
  3. Step 3: Cross multiply
    10,299.28x = 15,436.98 × 4,740.96
  4. Step 4: Simplify right side
    10,299.28x = 73,186,104.70
  5. Step 5: Solve for x
    x = 73,186,104.70/10,299.28
  6. Step 6: Final answer
    x = 7,105.94

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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.