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Finding the Fourth Proportional to 10,493.04, 15,741.18 and 3,567

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Solution

The fourth proportional to 10,493.04, 15,741.18 and 3,567 is: 5,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.04 : 15,741.18 = 3,567 : x
  2. Step 2: Convert to fraction form
    10,493.04/15,741.18 = 3,567/x
  3. Step 3: Cross multiply
    10,493.04x = 15,741.18 × 3,567
  4. Step 4: Simplify right side
    10,493.04x = 56,148,789.06
  5. Step 5: Solve for x
    x = 56,148,789.06/10,493.04
  6. Step 6: Final answer
    x = 5,351.05

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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.