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Finding the Fourth Proportional to 7,287.17, 10,057.16 and 4,142.75

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Solution

The fourth proportional to 7,287.17, 10,057.16 and 4,142.75 is: 5,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.17 : 10,057.16 = 4,142.75 : x
  2. Step 2: Convert to fraction form
    7,287.17/10,057.16 = 4,142.75/x
  3. Step 3: Cross multiply
    7,287.17x = 10,057.16 × 4,142.75
  4. Step 4: Simplify right side
    7,287.17x = 41,664,259.66
  5. Step 5: Solve for x
    x = 41,664,259.66/7,287.17
  6. Step 6: Final answer
    x = 5,717.49

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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.