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Finding the Fourth Proportional to 7,351.47, 10,144.29 and 4,164.51

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Solution

The fourth proportional to 7,351.47, 10,144.29 and 4,164.51 is: 5,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351.47 : 10,144.29 = 4,164.51 : x
  2. Step 2: Convert to fraction form
    7,351.47/10,144.29 = 4,164.51/x
  3. Step 3: Cross multiply
    7,351.47x = 10,144.29 × 4,164.51
  4. Step 4: Simplify right side
    7,351.47x = 42,245,997.15
  5. Step 5: Solve for x
    x = 42,245,997.15/7,351.47
  6. Step 6: Final answer
    x = 5,746.61

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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.