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Finding the Fourth Proportional to 10,470.27, 14,449.41 and 5,993.40

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Solution

The fourth proportional to 10,470.27, 14,449.41 and 5,993.40 is: 8,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.27 : 14,449.41 = 5,993.40 : x
  2. Step 2: Convert to fraction form
    10,470.27/14,449.41 = 5,993.40/x
  3. Step 3: Cross multiply
    10,470.27x = 14,449.41 × 5,993.40
  4. Step 4: Simplify right side
    10,470.27x = 86,601,093.89
  5. Step 5: Solve for x
    x = 86,601,093.89/10,470.27
  6. Step 6: Final answer
    x = 8,271.14

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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.