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Finding the Fourth Proportional to 7,443.06, 10,271.13 and 4,086.06

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Solution

The fourth proportional to 7,443.06, 10,271.13 and 4,086.06 is: 5,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.06 : 10,271.13 = 4,086.06 : x
  2. Step 2: Convert to fraction form
    7,443.06/10,271.13 = 4,086.06/x
  3. Step 3: Cross multiply
    7,443.06x = 10,271.13 × 4,086.06
  4. Step 4: Simplify right side
    7,443.06x = 41,968,453.45
  5. Step 5: Solve for x
    x = 41,968,453.45/7,443.06
  6. Step 6: Final answer
    x = 5,638.60

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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.