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Finding the Fourth Proportional to 11,783.26, 16,244.71 and 8,590.24

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Solution

The fourth proportional to 11,783.26, 16,244.71 and 8,590.24 is: 11,842.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.26 : 16,244.71 = 8,590.24 : x
  2. Step 2: Convert to fraction form
    11,783.26/16,244.71 = 8,590.24/x
  3. Step 3: Cross multiply
    11,783.26x = 16,244.71 × 8,590.24
  4. Step 4: Simplify right side
    11,783.26x = 139,545,957.63
  5. Step 5: Solve for x
    x = 139,545,957.63/11,783.26
  6. Step 6: Final answer
    x = 11,842.73

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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.