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Finding the Fourth Proportional to 11,590.09, 15,994.43 and 6,285

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Solution

The fourth proportional to 11,590.09, 15,994.43 and 6,285 is: 8,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.09 : 15,994.43 = 6,285 : x
  2. Step 2: Convert to fraction form
    11,590.09/15,994.43 = 6,285/x
  3. Step 3: Cross multiply
    11,590.09x = 15,994.43 × 6,285
  4. Step 4: Simplify right side
    11,590.09x = 100,524,992.55
  5. Step 5: Solve for x
    x = 100,524,992.55/11,590.09
  6. Step 6: Final answer
    x = 8,673.36

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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.