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Finding the Fourth Proportional to 7,647.23, 11,463.10 and 5,182.30

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Solution

The fourth proportional to 7,647.23, 11,463.10 and 5,182.30 is: 7,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.23 : 11,463.10 = 5,182.30 : x
  2. Step 2: Convert to fraction form
    7,647.23/11,463.10 = 5,182.30/x
  3. Step 3: Cross multiply
    7,647.23x = 11,463.10 × 5,182.30
  4. Step 4: Simplify right side
    7,647.23x = 59,405,223.13
  5. Step 5: Solve for x
    x = 59,405,223.13/7,647.23
  6. Step 6: Final answer
    x = 7,768.20

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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.