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Finding the Fourth Proportional to 7,600.72, 11,402.16 and 2,407

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Solution

The fourth proportional to 7,600.72, 11,402.16 and 2,407 is: 3,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.72 : 11,402.16 = 2,407 : x
  2. Step 2: Convert to fraction form
    7,600.72/11,402.16 = 2,407/x
  3. Step 3: Cross multiply
    7,600.72x = 11,402.16 × 2,407
  4. Step 4: Simplify right side
    7,600.72x = 27,444,999.12
  5. Step 5: Solve for x
    x = 27,444,999.12/7,600.72
  6. Step 6: Final answer
    x = 3,610.84

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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.