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Finding the Fourth Proportional to 8,446.30, 11,654.88 and 4,668.95

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Solution

The fourth proportional to 8,446.30, 11,654.88 and 4,668.95 is: 6,442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.30 : 11,654.88 = 4,668.95 : x
  2. Step 2: Convert to fraction form
    8,446.30/11,654.88 = 4,668.95/x
  3. Step 3: Cross multiply
    8,446.30x = 11,654.88 × 4,668.95
  4. Step 4: Simplify right side
    8,446.30x = 54,416,051.98
  5. Step 5: Solve for x
    x = 54,416,051.98/8,446.30
  6. Step 6: Final answer
    x = 6,442.59

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