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Finding the Fourth Proportional to 11,706.85, 17,560.28 and 4,781.35

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Solution

The fourth proportional to 11,706.85, 17,560.28 and 4,781.35 is: 7,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.85 : 17,560.28 = 4,781.35 : x
  2. Step 2: Convert to fraction form
    11,706.85/17,560.28 = 4,781.35/x
  3. Step 3: Cross multiply
    11,706.85x = 17,560.28 × 4,781.35
  4. Step 4: Simplify right side
    11,706.85x = 83,961,844.78
  5. Step 5: Solve for x
    x = 83,961,844.78/11,706.85
  6. Step 6: Final answer
    x = 7,172.03

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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.