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Finding the Fourth Proportional to 10,308.92, 15,464.14 and 3,735.14

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Solution

The fourth proportional to 10,308.92, 15,464.14 and 3,735.14 is: 5,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,308.92 : 15,464.14 = 3,735.14 : x
  2. Step 2: Convert to fraction form
    10,308.92/15,464.14 = 3,735.14/x
  3. Step 3: Cross multiply
    10,308.92x = 15,464.14 × 3,735.14
  4. Step 4: Simplify right side
    10,308.92x = 57,760,727.88
  5. Step 5: Solve for x
    x = 57,760,727.88/10,308.92
  6. Step 6: Final answer
    x = 5,602.99

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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.