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Finding the Fourth Proportional to 8,437.96, 11,627.94 and 6,075.64

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Solution

The fourth proportional to 8,437.96, 11,627.94 and 6,075.64 is: 8,372.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.96 : 11,627.94 = 6,075.64 : x
  2. Step 2: Convert to fraction form
    8,437.96/11,627.94 = 6,075.64/x
  3. Step 3: Cross multiply
    8,437.96x = 11,627.94 × 6,075.64
  4. Step 4: Simplify right side
    8,437.96x = 70,647,177.38
  5. Step 5: Solve for x
    x = 70,647,177.38/8,437.96
  6. Step 6: Final answer
    x = 8,372.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.