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Finding the Fourth Proportional to 7,564.70, 11,330.85 and 4,940.30

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Solution

The fourth proportional to 7,564.70, 11,330.85 and 4,940.30 is: 7,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.70 : 11,330.85 = 4,940.30 : x
  2. Step 2: Convert to fraction form
    7,564.70/11,330.85 = 4,940.30/x
  3. Step 3: Cross multiply
    7,564.70x = 11,330.85 × 4,940.30
  4. Step 4: Simplify right side
    7,564.70x = 55,977,798.26
  5. Step 5: Solve for x
    x = 55,977,798.26/7,564.70
  6. Step 6: Final answer
    x = 7,399.87

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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.