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Finding the Fourth Proportional to 10,588.71, 14,611.94 and 5,872.95

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Solution

The fourth proportional to 10,588.71, 14,611.94 and 5,872.95 is: 8,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.71 : 14,611.94 = 5,872.95 : x
  2. Step 2: Convert to fraction form
    10,588.71/14,611.94 = 5,872.95/x
  3. Step 3: Cross multiply
    10,588.71x = 14,611.94 × 5,872.95
  4. Step 4: Simplify right side
    10,588.71x = 85,815,163.66
  5. Step 5: Solve for x
    x = 85,815,163.66/10,588.71
  6. Step 6: Final answer
    x = 8,104.40

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