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Finding the Fourth Proportional to 8,046.74, 12,066 and 3,365.47

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Solution

The fourth proportional to 8,046.74, 12,066 and 3,365.47 is: 5,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.74 : 12,066 = 3,365.47 : x
  2. Step 2: Convert to fraction form
    8,046.74/12,066 = 3,365.47/x
  3. Step 3: Cross multiply
    8,046.74x = 12,066 × 3,365.47
  4. Step 4: Simplify right side
    8,046.74x = 40,607,761.02
  5. Step 5: Solve for x
    x = 40,607,761.02/8,046.74
  6. Step 6: Final answer
    x = 5,046.49

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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.