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Finding the Fourth Proportional to 10,381.60, 15,568.56 and 3,806.08

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Solution

The fourth proportional to 10,381.60, 15,568.56 and 3,806.08 is: 5,707.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.60 : 15,568.56 = 3,806.08 : x
  2. Step 2: Convert to fraction form
    10,381.60/15,568.56 = 3,806.08/x
  3. Step 3: Cross multiply
    10,381.60x = 15,568.56 × 3,806.08
  4. Step 4: Simplify right side
    10,381.60x = 59,255,184.84
  5. Step 5: Solve for x
    x = 59,255,184.84/10,381.60
  6. Step 6: Final answer
    x = 5,707.71

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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.