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Finding the Fourth Proportional to 7,749.12, 10,647.12 and 6,174.48

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Solution

The fourth proportional to 7,749.12, 10,647.12 and 6,174.48 is: 8,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.12 : 10,647.12 = 6,174.48 : x
  2. Step 2: Convert to fraction form
    7,749.12/10,647.12 = 6,174.48/x
  3. Step 3: Cross multiply
    7,749.12x = 10,647.12 × 6,174.48
  4. Step 4: Simplify right side
    7,749.12x = 65,740,429.50
  5. Step 5: Solve for x
    x = 65,740,429.50/7,749.12
  6. Step 6: Final answer
    x = 8,483.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.