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Finding the Fourth Proportional to 8,445.83, 11,654.61 and 4,668.62

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Solution

The fourth proportional to 8,445.83, 11,654.61 and 4,668.62 is: 6,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,445.83 : 11,654.61 = 4,668.62 : x
  2. Step 2: Convert to fraction form
    8,445.83/11,654.61 = 4,668.62/x
  3. Step 3: Cross multiply
    8,445.83x = 11,654.61 × 4,668.62
  4. Step 4: Simplify right side
    8,445.83x = 54,410,887.07
  5. Step 5: Solve for x
    x = 54,410,887.07/8,445.83
  6. Step 6: Final answer
    x = 6,442.34

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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.