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Finding the Fourth Proportional to 10,287.78, 14,197.26 and 5,750.25

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Solution

The fourth proportional to 10,287.78, 14,197.26 and 5,750.25 is: 7,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,287.78 : 14,197.26 = 5,750.25 : x
  2. Step 2: Convert to fraction form
    10,287.78/14,197.26 = 5,750.25/x
  3. Step 3: Cross multiply
    10,287.78x = 14,197.26 × 5,750.25
  4. Step 4: Simplify right side
    10,287.78x = 81,637,794.32
  5. Step 5: Solve for x
    x = 81,637,794.32/10,287.78
  6. Step 6: Final answer
    x = 7,935.41

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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.