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Finding the Fourth Proportional to 7,861.42, 11,785.50 and 3,415.72

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Solution

The fourth proportional to 7,861.42, 11,785.50 and 3,415.72 is: 5,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.42 : 11,785.50 = 3,415.72 : x
  2. Step 2: Convert to fraction form
    7,861.42/11,785.50 = 3,415.72/x
  3. Step 3: Cross multiply
    7,861.42x = 11,785.50 × 3,415.72
  4. Step 4: Simplify right side
    7,861.42x = 40,255,968.06
  5. Step 5: Solve for x
    x = 40,255,968.06/7,861.42
  6. Step 6: Final answer
    x = 5,120.70

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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.