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Finding the Fourth Proportional to 6,913.50, 10,370.25 and 4,874.46

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Solution

The fourth proportional to 6,913.50, 10,370.25 and 4,874.46 is: 7,311.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.50 : 10,370.25 = 4,874.46 : x
  2. Step 2: Convert to fraction form
    6,913.50/10,370.25 = 4,874.46/x
  3. Step 3: Cross multiply
    6,913.50x = 10,370.25 × 4,874.46
  4. Step 4: Simplify right side
    6,913.50x = 50,549,368.82
  5. Step 5: Solve for x
    x = 50,549,368.82/6,913.50
  6. Step 6: Final answer
    x = 7,311.69

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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.