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Finding the Fourth Proportional to 11,078.44, 16,598.86 and 6,686.67

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Solution

The fourth proportional to 11,078.44, 16,598.86 and 6,686.67 is: 10,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.44 : 16,598.86 = 6,686.67 : x
  2. Step 2: Convert to fraction form
    11,078.44/16,598.86 = 6,686.67/x
  3. Step 3: Cross multiply
    11,078.44x = 16,598.86 × 6,686.67
  4. Step 4: Simplify right side
    11,078.44x = 110,990,982.77
  5. Step 5: Solve for x
    x = 110,990,982.77/11,078.44
  6. Step 6: Final answer
    x = 10,018.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.