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Finding the Fourth Proportional to 6,418.14, 8,857.62 and 5,075.55

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Solution

The fourth proportional to 6,418.14, 8,857.62 and 5,075.55 is: 7,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.14 : 8,857.62 = 5,075.55 : x
  2. Step 2: Convert to fraction form
    6,418.14/8,857.62 = 5,075.55/x
  3. Step 3: Cross multiply
    6,418.14x = 8,857.62 × 5,075.55
  4. Step 4: Simplify right side
    6,418.14x = 44,957,293.19
  5. Step 5: Solve for x
    x = 44,957,293.19/6,418.14
  6. Step 6: Final answer
    x = 7,004.72

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