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Finding the Fourth Proportional to 11,178.83, 15,419.93 and 6,638.43

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Solution

The fourth proportional to 11,178.83, 15,419.93 and 6,638.43 is: 9,156.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.83 : 15,419.93 = 6,638.43 : x
  2. Step 2: Convert to fraction form
    11,178.83/15,419.93 = 6,638.43/x
  3. Step 3: Cross multiply
    11,178.83x = 15,419.93 × 6,638.43
  4. Step 4: Simplify right side
    11,178.83x = 102,364,015.62
  5. Step 5: Solve for x
    x = 102,364,015.62/11,178.83
  6. Step 6: Final answer
    x = 9,156.95

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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.