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Finding the Fourth Proportional to 10,562.30, 15,842.23 and 2,771.72

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Solution

The fourth proportional to 10,562.30, 15,842.23 and 2,771.72 is: 4,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.30 : 15,842.23 = 2,771.72 : x
  2. Step 2: Convert to fraction form
    10,562.30/15,842.23 = 2,771.72/x
  3. Step 3: Cross multiply
    10,562.30x = 15,842.23 × 2,771.72
  4. Step 4: Simplify right side
    10,562.30x = 43,910,132.67
  5. Step 5: Solve for x
    x = 43,910,132.67/10,562.30
  6. Step 6: Final answer
    x = 4,157.25

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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.