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Finding the Fourth Proportional to 10,250.31, 14,146.74 and 7,101.03

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Solution

The fourth proportional to 10,250.31, 14,146.74 and 7,101.03 is: 9,800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,250.31 : 14,146.74 = 7,101.03 : x
  2. Step 2: Convert to fraction form
    10,250.31/14,146.74 = 7,101.03/x
  3. Step 3: Cross multiply
    10,250.31x = 14,146.74 × 7,101.03
  4. Step 4: Simplify right side
    10,250.31x = 100,456,425.14
  5. Step 5: Solve for x
    x = 100,456,425.14/10,250.31
  6. Step 6: Final answer
    x = 9,800.33

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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.