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Finding the Fourth Proportional to 7,263.50, 10,022.10 and 4,749.30

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Solution

The fourth proportional to 7,263.50, 10,022.10 and 4,749.30 is: 6,553.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.50 : 10,022.10 = 4,749.30 : x
  2. Step 2: Convert to fraction form
    7,263.50/10,022.10 = 4,749.30/x
  3. Step 3: Cross multiply
    7,263.50x = 10,022.10 × 4,749.30
  4. Step 4: Simplify right side
    7,263.50x = 47,597,959.53
  5. Step 5: Solve for x
    x = 47,597,959.53/7,263.50
  6. Step 6: Final answer
    x = 6,553.03

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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.