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Finding the Fourth Proportional to 11,594.22, 15,994.71 and 6,876.78

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Solution

The fourth proportional to 11,594.22, 15,994.71 and 6,876.78 is: 9,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.22 : 15,994.71 = 6,876.78 : x
  2. Step 2: Convert to fraction form
    11,594.22/15,994.71 = 6,876.78/x
  3. Step 3: Cross multiply
    11,594.22x = 15,994.71 × 6,876.78
  4. Step 4: Simplify right side
    11,594.22x = 109,992,101.83
  5. Step 5: Solve for x
    x = 109,992,101.83/11,594.22
  6. Step 6: Final answer
    x = 9,486.80

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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.