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Finding the Fourth Proportional to 7,601.52, 11,402.12 and 2,407.26

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Solution

The fourth proportional to 7,601.52, 11,402.12 and 2,407.26 is: 3,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,601.52 : 11,402.12 = 2,407.26 : x
  2. Step 2: Convert to fraction form
    7,601.52/11,402.12 = 2,407.26/x
  3. Step 3: Cross multiply
    7,601.52x = 11,402.12 × 2,407.26
  4. Step 4: Simplify right side
    7,601.52x = 27,447,867.39
  5. Step 5: Solve for x
    x = 27,447,867.39/7,601.52
  6. Step 6: Final answer
    x = 3,610.84

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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.