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Finding the Fourth Proportional to 10,381.12, 15,568.44 and 3,454

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Solution

The fourth proportional to 10,381.12, 15,568.44 and 3,454 is: 5,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.12 : 15,568.44 = 3,454 : x
  2. Step 2: Convert to fraction form
    10,381.12/15,568.44 = 3,454/x
  3. Step 3: Cross multiply
    10,381.12x = 15,568.44 × 3,454
  4. Step 4: Simplify right side
    10,381.12x = 53,773,391.76
  5. Step 5: Solve for x
    x = 53,773,391.76/10,381.12
  6. Step 6: Final answer
    x = 5,179.92

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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.