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Finding the Fourth Proportional to 10,588, 14,611.44 and 5,872.58

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Solution

The fourth proportional to 10,588, 14,611.44 and 5,872.58 is: 8,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588 : 14,611.44 = 5,872.58 : x
  2. Step 2: Convert to fraction form
    10,588/14,611.44 = 5,872.58/x
  3. Step 3: Cross multiply
    10,588x = 14,611.44 × 5,872.58
  4. Step 4: Simplify right side
    10,588x = 85,806,850.32
  5. Step 5: Solve for x
    x = 85,806,850.32/10,588
  6. Step 6: Final answer
    x = 8,104.16

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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.