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Finding the Fourth Proportional to 10,349.31, 15,511.23 and 4,795.14

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Solution

The fourth proportional to 10,349.31, 15,511.23 and 4,795.14 is: 7,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,349.31 : 15,511.23 = 4,795.14 : x
  2. Step 2: Convert to fraction form
    10,349.31/15,511.23 = 4,795.14/x
  3. Step 3: Cross multiply
    10,349.31x = 15,511.23 × 4,795.14
  4. Step 4: Simplify right side
    10,349.31x = 74,378,519.42
  5. Step 5: Solve for x
    x = 74,378,519.42/10,349.31
  6. Step 6: Final answer
    x = 7,186.81

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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.