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Finding the Fourth Proportional to 8,146.71, 11,243.07 and 4,610.45

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Solution

The fourth proportional to 8,146.71, 11,243.07 and 4,610.45 is: 6,362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.71 : 11,243.07 = 4,610.45 : x
  2. Step 2: Convert to fraction form
    8,146.71/11,243.07 = 4,610.45/x
  3. Step 3: Cross multiply
    8,146.71x = 11,243.07 × 4,610.45
  4. Step 4: Simplify right side
    8,146.71x = 51,835,640.19
  5. Step 5: Solve for x
    x = 51,835,640.19/8,146.71
  6. Step 6: Final answer
    x = 6,362.77

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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.