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Finding the Fourth Proportional to 10,592.53, 14,617.19 and 5,812.37

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Solution

The fourth proportional to 10,592.53, 14,617.19 and 5,812.37 is: 8,020.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.53 : 14,617.19 = 5,812.37 : x
  2. Step 2: Convert to fraction form
    10,592.53/14,617.19 = 5,812.37/x
  3. Step 3: Cross multiply
    10,592.53x = 14,617.19 × 5,812.37
  4. Step 4: Simplify right side
    10,592.53x = 84,960,458.09
  5. Step 5: Solve for x
    x = 84,960,458.09/10,592.53
  6. Step 6: Final answer
    x = 8,020.79

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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.