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Finding the Fourth Proportional to 10,571.30, 15,855.68 and 2,780.72

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Solution

The fourth proportional to 10,571.30, 15,855.68 and 2,780.72 is: 4,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.30 : 15,855.68 = 2,780.72 : x
  2. Step 2: Convert to fraction form
    10,571.30/15,855.68 = 2,780.72/x
  3. Step 3: Cross multiply
    10,571.30x = 15,855.68 × 2,780.72
  4. Step 4: Simplify right side
    10,571.30x = 44,090,134.16
  5. Step 5: Solve for x
    x = 44,090,134.16/10,571.30
  6. Step 6: Final answer
    x = 4,170.74

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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.