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Finding the Fourth Proportional to 8,146.80, 11,242.53 and 4,609.94

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Solution

The fourth proportional to 8,146.80, 11,242.53 and 4,609.94 is: 6,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.80 : 11,242.53 = 4,609.94 : x
  2. Step 2: Convert to fraction form
    8,146.80/11,242.53 = 4,609.94/x
  3. Step 3: Cross multiply
    8,146.80x = 11,242.53 × 4,609.94
  4. Step 4: Simplify right side
    8,146.80x = 51,827,332.54
  5. Step 5: Solve for x
    x = 51,827,332.54/8,146.80
  6. Step 6: Final answer
    x = 6,361.68

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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.