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Finding the Fourth Proportional to 15,611, 23,416.26 and 5,081.48

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Solution

The fourth proportional to 15,611, 23,416.26 and 5,081.48 is: 7,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,611 : 23,416.26 = 5,081.48 : x
  2. Step 2: Convert to fraction form
    15,611/23,416.26 = 5,081.48/x
  3. Step 3: Cross multiply
    15,611x = 23,416.26 × 5,081.48
  4. Step 4: Simplify right side
    15,611x = 118,989,256.86
  5. Step 5: Solve for x
    x = 118,989,256.86/15,611
  6. Step 6: Final answer
    x = 7,622.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.