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Finding the Fourth Proportional to 8,466.33, 12,695.23 and 4,957.40

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Solution

The fourth proportional to 8,466.33, 12,695.23 and 4,957.40 is: 7,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.33 : 12,695.23 = 4,957.40 : x
  2. Step 2: Convert to fraction form
    8,466.33/12,695.23 = 4,957.40/x
  3. Step 3: Cross multiply
    8,466.33x = 12,695.23 × 4,957.40
  4. Step 4: Simplify right side
    8,466.33x = 62,935,257.33
  5. Step 5: Solve for x
    x = 62,935,257.33/8,466.33
  6. Step 6: Final answer
    x = 7,433.59

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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.