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Finding the Fourth Proportional to 7,934.08, 11,893.02 and 2,735.50

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Solution

The fourth proportional to 7,934.08, 11,893.02 and 2,735.50 is: 4,100.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.08 : 11,893.02 = 2,735.50 : x
  2. Step 2: Convert to fraction form
    7,934.08/11,893.02 = 2,735.50/x
  3. Step 3: Cross multiply
    7,934.08x = 11,893.02 × 2,735.50
  4. Step 4: Simplify right side
    7,934.08x = 32,533,356.21
  5. Step 5: Solve for x
    x = 32,533,356.21/7,934.08
  6. Step 6: Final answer
    x = 4,100.46

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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.