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Finding the Fourth Proportional to 11,810.75, 17,706.07 and 5,233.35

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Solution

The fourth proportional to 11,810.75, 17,706.07 and 5,233.35 is: 7,845.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.75 : 17,706.07 = 5,233.35 : x
  2. Step 2: Convert to fraction form
    11,810.75/17,706.07 = 5,233.35/x
  3. Step 3: Cross multiply
    11,810.75x = 17,706.07 × 5,233.35
  4. Step 4: Simplify right side
    11,810.75x = 92,662,061.43
  5. Step 5: Solve for x
    x = 92,662,061.43/11,810.75
  6. Step 6: Final answer
    x = 7,845.57

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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.