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Finding the Fourth Proportional to 10,592.12, 14,617.01 and 5,811.96

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Solution

The fourth proportional to 10,592.12, 14,617.01 and 5,811.96 is: 8,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.12 : 14,617.01 = 5,811.96 : x
  2. Step 2: Convert to fraction form
    10,592.12/14,617.01 = 5,811.96/x
  3. Step 3: Cross multiply
    10,592.12x = 14,617.01 × 5,811.96
  4. Step 4: Simplify right side
    10,592.12x = 84,953,448.38
  5. Step 5: Solve for x
    x = 84,953,448.38/10,592.12
  6. Step 6: Final answer
    x = 8,020.44

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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.