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Finding the Fourth Proportional to 11,603.34, 17,403.21 and 3,812.10

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Solution

The fourth proportional to 11,603.34, 17,403.21 and 3,812.10 is: 5,717.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,603.34 : 17,403.21 = 3,812.10 : x
  2. Step 2: Convert to fraction form
    11,603.34/17,403.21 = 3,812.10/x
  3. Step 3: Cross multiply
    11,603.34x = 17,403.21 × 3,812.10
  4. Step 4: Simplify right side
    11,603.34x = 66,342,776.84
  5. Step 5: Solve for x
    x = 66,342,776.84/11,603.34
  6. Step 6: Final answer
    x = 5,717.56

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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.