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Finding the Fourth Proportional to 8,223.60, 12,317.79 and 3,537.48

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Solution

The fourth proportional to 8,223.60, 12,317.79 and 3,537.48 is: 5,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.60 : 12,317.79 = 3,537.48 : x
  2. Step 2: Convert to fraction form
    8,223.60/12,317.79 = 3,537.48/x
  3. Step 3: Cross multiply
    8,223.60x = 12,317.79 × 3,537.48
  4. Step 4: Simplify right side
    8,223.60x = 43,573,935.77
  5. Step 5: Solve for x
    x = 43,573,935.77/8,223.60
  6. Step 6: Final answer
    x = 5,298.64

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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.