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Finding the Fourth Proportional to 8,223.66, 12,329.01 and 4,325.94

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Solution

The fourth proportional to 8,223.66, 12,329.01 and 4,325.94 is: 6,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.66 : 12,329.01 = 4,325.94 : x
  2. Step 2: Convert to fraction form
    8,223.66/12,329.01 = 4,325.94/x
  3. Step 3: Cross multiply
    8,223.66x = 12,329.01 × 4,325.94
  4. Step 4: Simplify right side
    8,223.66x = 53,334,557.52
  5. Step 5: Solve for x
    x = 53,334,557.52/8,223.66
  6. Step 6: Final answer
    x = 6,485.50

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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.