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Finding the Fourth Proportional to 10,592.75, 14,617.51 and 5,812.58

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Solution

The fourth proportional to 10,592.75, 14,617.51 and 5,812.58 is: 8,021.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.75 : 14,617.51 = 5,812.58 : x
  2. Step 2: Convert to fraction form
    10,592.75/14,617.51 = 5,812.58/x
  3. Step 3: Cross multiply
    10,592.75x = 14,617.51 × 5,812.58
  4. Step 4: Simplify right side
    10,592.75x = 84,965,446.28
  5. Step 5: Solve for x
    x = 84,965,446.28/10,592.75
  6. Step 6: Final answer
    x = 8,021.09

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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.