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Finding the Fourth Proportional to 11,706.48, 17,562.12 and 3,915.36

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Solution

The fourth proportional to 11,706.48, 17,562.12 and 3,915.36 is: 5,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.48 : 17,562.12 = 3,915.36 : x
  2. Step 2: Convert to fraction form
    11,706.48/17,562.12 = 3,915.36/x
  3. Step 3: Cross multiply
    11,706.48x = 17,562.12 × 3,915.36
  4. Step 4: Simplify right side
    11,706.48x = 68,762,022.16
  5. Step 5: Solve for x
    x = 68,762,022.16/11,706.48
  6. Step 6: Final answer
    x = 5,873.84

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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.