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Finding the Fourth Proportional to 11,590.94, 15,992.82 and 7,821.10

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Solution

The fourth proportional to 11,590.94, 15,992.82 and 7,821.10 is: 10,791.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.94 : 15,992.82 = 7,821.10 : x
  2. Step 2: Convert to fraction form
    11,590.94/15,992.82 = 7,821.10/x
  3. Step 3: Cross multiply
    11,590.94x = 15,992.82 × 7,821.10
  4. Step 4: Simplify right side
    11,590.94x = 125,081,444.50
  5. Step 5: Solve for x
    x = 125,081,444.50/11,590.94
  6. Step 6: Final answer
    x = 10,791.31

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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.