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Finding the Fourth Proportional to 11,297.66, 16,947.47 and 2,977.61

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Solution

The fourth proportional to 11,297.66, 16,947.47 and 2,977.61 is: 4,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.66 : 16,947.47 = 2,977.61 : x
  2. Step 2: Convert to fraction form
    11,297.66/16,947.47 = 2,977.61/x
  3. Step 3: Cross multiply
    11,297.66x = 16,947.47 × 2,977.61
  4. Step 4: Simplify right side
    11,297.66x = 50,462,956.15
  5. Step 5: Solve for x
    x = 50,462,956.15/11,297.66
  6. Step 6: Final answer
    x = 4,466.67

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Why These Related Problems?

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