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Finding the Fourth Proportional to 7,602.54, 11,400.90 and 3,652.70

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Solution

The fourth proportional to 7,602.54, 11,400.90 and 3,652.70 is: 5,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.54 : 11,400.90 = 3,652.70 : x
  2. Step 2: Convert to fraction form
    7,602.54/11,400.90 = 3,652.70/x
  3. Step 3: Cross multiply
    7,602.54x = 11,400.90 × 3,652.70
  4. Step 4: Simplify right side
    7,602.54x = 41,644,010.43
  5. Step 5: Solve for x
    x = 41,644,010.43/7,602.54
  6. Step 6: Final answer
    x = 5,477.64

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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.