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Finding the Fourth Proportional to 11,706.90, 17,552.15 and 4,310.40

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Solution

The fourth proportional to 11,706.90, 17,552.15 and 4,310.40 is: 6,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.90 : 17,552.15 = 4,310.40 : x
  2. Step 2: Convert to fraction form
    11,706.90/17,552.15 = 4,310.40/x
  3. Step 3: Cross multiply
    11,706.90x = 17,552.15 × 4,310.40
  4. Step 4: Simplify right side
    11,706.90x = 75,656,765.81
  5. Step 5: Solve for x
    x = 75,656,765.81/11,706.90
  6. Step 6: Final answer
    x = 6,462.58

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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.