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Finding the Fourth Proportional to 7,029.76, 10,546.20 and 2,647.24

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Solution

The fourth proportional to 7,029.76, 10,546.20 and 2,647.24 is: 3,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.76 : 10,546.20 = 2,647.24 : x
  2. Step 2: Convert to fraction form
    7,029.76/10,546.20 = 2,647.24/x
  3. Step 3: Cross multiply
    7,029.76x = 10,546.20 × 2,647.24
  4. Step 4: Simplify right side
    7,029.76x = 27,918,322.49
  5. Step 5: Solve for x
    x = 27,918,322.49/7,029.76
  6. Step 6: Final answer
    x = 3,971.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.