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Finding the Fourth Proportional to 11,270.34, 16,870.05 and 7,739.67

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Solution

The fourth proportional to 11,270.34, 16,870.05 and 7,739.67 is: 11,585.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.34 : 16,870.05 = 7,739.67 : x
  2. Step 2: Convert to fraction form
    11,270.34/16,870.05 = 7,739.67/x
  3. Step 3: Cross multiply
    11,270.34x = 16,870.05 × 7,739.67
  4. Step 4: Simplify right side
    11,270.34x = 130,568,619.88
  5. Step 5: Solve for x
    x = 130,568,619.88/11,270.34
  6. Step 6: Final answer
    x = 11,585.15

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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.