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Finding the Fourth Proportional to 10,378.89, 15,570.09 and 3,809.79

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Solution

The fourth proportional to 10,378.89, 15,570.09 and 3,809.79 is: 5,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.89 : 15,570.09 = 3,809.79 : x
  2. Step 2: Convert to fraction form
    10,378.89/15,570.09 = 3,809.79/x
  3. Step 3: Cross multiply
    10,378.89x = 15,570.09 × 3,809.79
  4. Step 4: Simplify right side
    10,378.89x = 59,318,773.18
  5. Step 5: Solve for x
    x = 59,318,773.18/10,378.89
  6. Step 6: Final answer
    x = 5,715.33

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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.