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Finding the Fourth Proportional to 10,592, 14,617 and 5,876.96

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Solution

The fourth proportional to 10,592, 14,617 and 5,876.96 is: 8,110.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592 : 14,617 = 5,876.96 : x
  2. Step 2: Convert to fraction form
    10,592/14,617 = 5,876.96/x
  3. Step 3: Cross multiply
    10,592x = 14,617 × 5,876.96
  4. Step 4: Simplify right side
    10,592x = 85,903,524.32
  5. Step 5: Solve for x
    x = 85,903,524.32/10,592
  6. Step 6: Final answer
    x = 8,110.23

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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.