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Finding the Fourth Proportional to 8,146.97, 11,242.76 and 4,610.10

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Solution

The fourth proportional to 8,146.97, 11,242.76 and 4,610.10 is: 6,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.97 : 11,242.76 = 4,610.10 : x
  2. Step 2: Convert to fraction form
    8,146.97/11,242.76 = 4,610.10/x
  3. Step 3: Cross multiply
    8,146.97x = 11,242.76 × 4,610.10
  4. Step 4: Simplify right side
    8,146.97x = 51,830,247.88
  5. Step 5: Solve for x
    x = 51,830,247.88/8,146.97
  6. Step 6: Final answer
    x = 6,361.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.