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Finding the Fourth Proportional to 10,506.21, 15,759.59 and 2,715

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Solution

The fourth proportional to 10,506.21, 15,759.59 and 2,715 is: 4,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.21 : 15,759.59 = 2,715 : x
  2. Step 2: Convert to fraction form
    10,506.21/15,759.59 = 2,715/x
  3. Step 3: Cross multiply
    10,506.21x = 15,759.59 × 2,715
  4. Step 4: Simplify right side
    10,506.21x = 42,787,273.28
  5. Step 5: Solve for x
    x = 42,787,273.28/10,506.21
  6. Step 6: Final answer
    x = 4,072.57

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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.