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Finding the Fourth Proportional to 8,321.06, 12,477.90 and 3,123.26

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Solution

The fourth proportional to 8,321.06, 12,477.90 and 3,123.26 is: 4,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.06 : 12,477.90 = 3,123.26 : x
  2. Step 2: Convert to fraction form
    8,321.06/12,477.90 = 3,123.26/x
  3. Step 3: Cross multiply
    8,321.06x = 12,477.90 × 3,123.26
  4. Step 4: Simplify right side
    8,321.06x = 38,971,725.95
  5. Step 5: Solve for x
    x = 38,971,725.95/8,321.06
  6. Step 6: Final answer
    x = 4,683.50

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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.