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Finding the Fourth Proportional to 11,416.50, 17,111.88 and 8,634.15

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Solution

The fourth proportional to 11,416.50, 17,111.88 and 8,634.15 is: 12,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,416.50 : 17,111.88 = 8,634.15 : x
  2. Step 2: Convert to fraction form
    11,416.50/17,111.88 = 8,634.15/x
  3. Step 3: Cross multiply
    11,416.50x = 17,111.88 × 8,634.15
  4. Step 4: Simplify right side
    11,416.50x = 147,746,538.70
  5. Step 5: Solve for x
    x = 147,746,538.70/11,416.50
  6. Step 6: Final answer
    x = 12,941.49

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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.