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Finding the Fourth Proportional to 7,647.21, 10,538.00 and 5,519.14

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Solution

The fourth proportional to 7,647.21, 10,538.00 and 5,519.14 is: 7,605.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.21 : 10,538.00 = 5,519.14 : x
  2. Step 2: Convert to fraction form
    7,647.21/10,538.00 = 5,519.14/x
  3. Step 3: Cross multiply
    7,647.21x = 10,538.00 × 5,519.14
  4. Step 4: Simplify right side
    7,647.21x = 58,160,664.08
  5. Step 5: Solve for x
    x = 58,160,664.08/7,647.21
  6. Step 6: Final answer
    x = 7,605.47

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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.