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Finding the Fourth Proportional to 10,611.88, 14,650.50 and 7,086.76

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Solution

The fourth proportional to 10,611.88, 14,650.50 and 7,086.76 is: 9,783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.88 : 14,650.50 = 7,086.76 : x
  2. Step 2: Convert to fraction form
    10,611.88/14,650.50 = 7,086.76/x
  3. Step 3: Cross multiply
    10,611.88x = 14,650.50 × 7,086.76
  4. Step 4: Simplify right side
    10,611.88x = 103,824,577.38
  5. Step 5: Solve for x
    x = 103,824,577.38/10,611.88
  6. Step 6: Final answer
    x = 9,783.81

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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.