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Finding the Fourth Proportional to 11,346.26, 17,019.42 and 6,184.94

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Solution

The fourth proportional to 11,346.26, 17,019.42 and 6,184.94 is: 9,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.26 : 17,019.42 = 6,184.94 : x
  2. Step 2: Convert to fraction form
    11,346.26/17,019.42 = 6,184.94/x
  3. Step 3: Cross multiply
    11,346.26x = 17,019.42 × 6,184.94
  4. Step 4: Simplify right side
    11,346.26x = 105,264,091.53
  5. Step 5: Solve for x
    x = 105,264,091.53/11,346.26
  6. Step 6: Final answer
    x = 9,277.43

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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.