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Finding the Fourth Proportional to 10,496.90, 15,745.73 and 3,477.08

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Solution

The fourth proportional to 10,496.90, 15,745.73 and 3,477.08 is: 5,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.90 : 15,745.73 = 3,477.08 : x
  2. Step 2: Convert to fraction form
    10,496.90/15,745.73 = 3,477.08/x
  3. Step 3: Cross multiply
    10,496.90x = 15,745.73 × 3,477.08
  4. Step 4: Simplify right side
    10,496.90x = 54,749,066.75
  5. Step 5: Solve for x
    x = 54,749,066.75/10,496.90
  6. Step 6: Final answer
    x = 5,215.74

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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.