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Finding the Fourth Proportional to 7,361.78, 11,018.54 and 4,024.92

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Solution

The fourth proportional to 7,361.78, 11,018.54 and 4,024.92 is: 6,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.78 : 11,018.54 = 4,024.92 : x
  2. Step 2: Convert to fraction form
    7,361.78/11,018.54 = 4,024.92/x
  3. Step 3: Cross multiply
    7,361.78x = 11,018.54 × 4,024.92
  4. Step 4: Simplify right side
    7,361.78x = 44,348,742.02
  5. Step 5: Solve for x
    x = 44,348,742.02/7,361.78
  6. Step 6: Final answer
    x = 6,024.19

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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.