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Finding the Fourth Proportional to 7,167.94, 10,754.64 and 2,785.74

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Solution

The fourth proportional to 7,167.94, 10,754.64 and 2,785.74 is: 4,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.94 : 10,754.64 = 2,785.74 : x
  2. Step 2: Convert to fraction form
    7,167.94/10,754.64 = 2,785.74/x
  3. Step 3: Cross multiply
    7,167.94x = 10,754.64 × 2,785.74
  4. Step 4: Simplify right side
    7,167.94x = 29,959,590.50
  5. Step 5: Solve for x
    x = 29,959,590.50/7,167.94
  6. Step 6: Final answer
    x = 4,179.67

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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.