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Finding the Fourth Proportional to 7,647.50, 10,553.57 and 4,462.99

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Solution

The fourth proportional to 7,647.50, 10,553.57 and 4,462.99 is: 6,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.50 : 10,553.57 = 4,462.99 : x
  2. Step 2: Convert to fraction form
    7,647.50/10,553.57 = 4,462.99/x
  3. Step 3: Cross multiply
    7,647.50x = 10,553.57 × 4,462.99
  4. Step 4: Simplify right side
    7,647.50x = 47,100,477.37
  5. Step 5: Solve for x
    x = 47,100,477.37/7,647.50
  6. Step 6: Final answer
    x = 6,158.94

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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.