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Finding the Fourth Proportional to 15,611.34, 21,543.67 and 8,537.78

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Solution

The fourth proportional to 15,611.34, 21,543.67 and 8,537.78 is: 11,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,611.34 : 21,543.67 = 8,537.78 : x
  2. Step 2: Convert to fraction form
    15,611.34/21,543.67 = 8,537.78/x
  3. Step 3: Cross multiply
    15,611.34x = 21,543.67 × 8,537.78
  4. Step 4: Simplify right side
    15,611.34x = 183,935,179.38
  5. Step 5: Solve for x
    x = 183,935,179.38/15,611.34
  6. Step 6: Final answer
    x = 11,782.15

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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.