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Finding the Fourth Proportional to 11,594.20, 15,999.78 and 6,878.56

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Solution

The fourth proportional to 11,594.20, 15,999.78 and 6,878.56 is: 9,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.20 : 15,999.78 = 6,878.56 : x
  2. Step 2: Convert to fraction form
    11,594.20/15,999.78 = 6,878.56/x
  3. Step 3: Cross multiply
    11,594.20x = 15,999.78 × 6,878.56
  4. Step 4: Simplify right side
    11,594.20x = 110,055,446.72
  5. Step 5: Solve for x
    x = 110,055,446.72/11,594.20
  6. Step 6: Final answer
    x = 9,492.28

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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.