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Finding the Fourth Proportional to 10,154.53, 15,231.86 and 6,647.48

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Solution

The fourth proportional to 10,154.53, 15,231.86 and 6,647.48 is: 9,971.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.53 : 15,231.86 = 6,647.48 : x
  2. Step 2: Convert to fraction form
    10,154.53/15,231.86 = 6,647.48/x
  3. Step 3: Cross multiply
    10,154.53x = 15,231.86 × 6,647.48
  4. Step 4: Simplify right side
    10,154.53x = 101,253,451.48
  5. Step 5: Solve for x
    x = 101,253,451.48/10,154.53
  6. Step 6: Final answer
    x = 9,971.26

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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.