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Finding the Fourth Proportional to 10,571.49, 15,858.17 and 2,780.30

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Solution

The fourth proportional to 10,571.49, 15,858.17 and 2,780.30 is: 4,170.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.49 : 15,858.17 = 2,780.30 : x
  2. Step 2: Convert to fraction form
    10,571.49/15,858.17 = 2,780.30/x
  3. Step 3: Cross multiply
    10,571.49x = 15,858.17 × 2,780.30
  4. Step 4: Simplify right side
    10,571.49x = 44,090,506.22
  5. Step 5: Solve for x
    x = 44,090,506.22/10,571.49
  6. Step 6: Final answer
    x = 4,170.70

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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.