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Finding the Fourth Proportional to 8,310.95, 11,466.23 and 5,328.42

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Solution

The fourth proportional to 8,310.95, 11,466.23 and 5,328.42 is: 7,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.95 : 11,466.23 = 5,328.42 : x
  2. Step 2: Convert to fraction form
    8,310.95/11,466.23 = 5,328.42/x
  3. Step 3: Cross multiply
    8,310.95x = 11,466.23 × 5,328.42
  4. Step 4: Simplify right side
    8,310.95x = 61,096,862.61
  5. Step 5: Solve for x
    x = 61,096,862.61/8,310.95
  6. Step 6: Final answer
    x = 7,351.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.