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Finding the Fourth Proportional to 11,590.39, 17,388.06 and 4,664.89

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Solution

The fourth proportional to 11,590.39, 17,388.06 and 4,664.89 is: 6,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.39 : 17,388.06 = 4,664.89 : x
  2. Step 2: Convert to fraction form
    11,590.39/17,388.06 = 4,664.89/x
  3. Step 3: Cross multiply
    11,590.39x = 17,388.06 × 4,664.89
  4. Step 4: Simplify right side
    11,590.39x = 81,113,387.21
  5. Step 5: Solve for x
    x = 81,113,387.21/11,590.39
  6. Step 6: Final answer
    x = 6,998.33

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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.