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Finding the Fourth Proportional to 8,466.33, 12,699.50 and 4,084.23

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Solution

The fourth proportional to 8,466.33, 12,699.50 and 4,084.23 is: 6,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.33 : 12,699.50 = 4,084.23 : x
  2. Step 2: Convert to fraction form
    8,466.33/12,699.50 = 4,084.23/x
  3. Step 3: Cross multiply
    8,466.33x = 12,699.50 × 4,084.23
  4. Step 4: Simplify right side
    8,466.33x = 51,867,658.46
  5. Step 5: Solve for x
    x = 51,867,658.46/8,466.33
  6. Step 6: Final answer
    x = 6,126.35

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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.