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Finding the Fourth Proportional to 7,325.63, 10,996.64 and 4,865.25

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Solution

The fourth proportional to 7,325.63, 10,996.64 and 4,865.25 is: 7,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,325.63 : 10,996.64 = 4,865.25 : x
  2. Step 2: Convert to fraction form
    7,325.63/10,996.64 = 4,865.25/x
  3. Step 3: Cross multiply
    7,325.63x = 10,996.64 × 4,865.25
  4. Step 4: Simplify right side
    7,325.63x = 53,501,439.56
  5. Step 5: Solve for x
    x = 53,501,439.56/7,325.63
  6. Step 6: Final answer
    x = 7,303.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.