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Finding the Fourth Proportional to 10,592.73, 14,617.71 and 5,812.65

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Solution

The fourth proportional to 10,592.73, 14,617.71 and 5,812.65 is: 8,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.73 : 14,617.71 = 5,812.65 : x
  2. Step 2: Convert to fraction form
    10,592.73/14,617.71 = 5,812.65/x
  3. Step 3: Cross multiply
    10,592.73x = 14,617.71 × 5,812.65
  4. Step 4: Simplify right side
    10,592.73x = 84,967,632.03
  5. Step 5: Solve for x
    x = 84,967,632.03/10,592.73
  6. Step 6: Final answer
    x = 8,021.32

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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.