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Finding the Fourth Proportional to 10,470, 14,449.17 and 5,992.71

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Solution

The fourth proportional to 10,470, 14,449.17 and 5,992.71 is: 8,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470 : 14,449.17 = 5,992.71 : x
  2. Step 2: Convert to fraction form
    10,470/14,449.17 = 5,992.71/x
  3. Step 3: Cross multiply
    10,470x = 14,449.17 × 5,992.71
  4. Step 4: Simplify right side
    10,470x = 86,589,685.55
  5. Step 5: Solve for x
    x = 86,589,685.55/10,470
  6. Step 6: Final answer
    x = 8,270.27

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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.