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Finding the Fourth Proportional to 8,891.34, 12,270 and 4,912.50

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Solution

The fourth proportional to 8,891.34, 12,270 and 4,912.50 is: 6,779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,891.34 : 12,270 = 4,912.50 : x
  2. Step 2: Convert to fraction form
    8,891.34/12,270 = 4,912.50/x
  3. Step 3: Cross multiply
    8,891.34x = 12,270 × 4,912.50
  4. Step 4: Simplify right side
    8,891.34x = 60,276,375
  5. Step 5: Solve for x
    x = 60,276,375/8,891.34
  6. Step 6: Final answer
    x = 6,779.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.