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Finding the Fourth Proportional to 11,590.63, 15,992.37 and 7,820.79

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Solution

The fourth proportional to 11,590.63, 15,992.37 and 7,820.79 is: 10,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.63 : 15,992.37 = 7,820.79 : x
  2. Step 2: Convert to fraction form
    11,590.63/15,992.37 = 7,820.79/x
  3. Step 3: Cross multiply
    11,590.63x = 15,992.37 × 7,820.79
  4. Step 4: Simplify right side
    11,590.63x = 125,072,907.40
  5. Step 5: Solve for x
    x = 125,072,907.40/11,590.63
  6. Step 6: Final answer
    x = 10,790.87

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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.