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Finding the Fourth Proportional to 8,146.03, 11,242.20 and 4,609.92

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Solution

The fourth proportional to 8,146.03, 11,242.20 and 4,609.92 is: 6,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.03 : 11,242.20 = 4,609.92 : x
  2. Step 2: Convert to fraction form
    8,146.03/11,242.20 = 4,609.92/x
  3. Step 3: Cross multiply
    8,146.03x = 11,242.20 × 4,609.92
  4. Step 4: Simplify right side
    8,146.03x = 51,825,642.62
  5. Step 5: Solve for x
    x = 51,825,642.62/8,146.03
  6. Step 6: Final answer
    x = 6,362.07

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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.