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Finding the Fourth Proportional to 10,825.53, 14,939.28 and 5,857.53

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Solution

The fourth proportional to 10,825.53, 14,939.28 and 5,857.53 is: 8,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.53 : 14,939.28 = 5,857.53 : x
  2. Step 2: Convert to fraction form
    10,825.53/14,939.28 = 5,857.53/x
  3. Step 3: Cross multiply
    10,825.53x = 14,939.28 × 5,857.53
  4. Step 4: Simplify right side
    10,825.53x = 87,507,303.48
  5. Step 5: Solve for x
    x = 87,507,303.48/10,825.53
  6. Step 6: Final answer
    x = 8,083.42

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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.