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Finding the Fourth Proportional to 8,146.26, 12,223.04 and 4,683.51

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Solution

The fourth proportional to 8,146.26, 12,223.04 and 4,683.51 is: 7,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.26 : 12,223.04 = 4,683.51 : x
  2. Step 2: Convert to fraction form
    8,146.26/12,223.04 = 4,683.51/x
  3. Step 3: Cross multiply
    8,146.26x = 12,223.04 × 4,683.51
  4. Step 4: Simplify right side
    8,146.26x = 57,246,730.07
  5. Step 5: Solve for x
    x = 57,246,730.07/8,146.26
  6. Step 6: Final answer
    x = 7,027.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.