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Finding the Fourth Proportional to 7,918.03, 11,877.42 and 2,074.64

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Solution

The fourth proportional to 7,918.03, 11,877.42 and 2,074.64 is: 3,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.03 : 11,877.42 = 2,074.64 : x
  2. Step 2: Convert to fraction form
    7,918.03/11,877.42 = 2,074.64/x
  3. Step 3: Cross multiply
    7,918.03x = 11,877.42 × 2,074.64
  4. Step 4: Simplify right side
    7,918.03x = 24,641,370.63
  5. Step 5: Solve for x
    x = 24,641,370.63/7,918.03
  6. Step 6: Final answer
    x = 3,112.06

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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.