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Finding the Fourth Proportional to 7,075.37, 9,767.55 and 5,478.46

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Solution

The fourth proportional to 7,075.37, 9,767.55 and 5,478.46 is: 7,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.37 : 9,767.55 = 5,478.46 : x
  2. Step 2: Convert to fraction form
    7,075.37/9,767.55 = 5,478.46/x
  3. Step 3: Cross multiply
    7,075.37x = 9,767.55 × 5,478.46
  4. Step 4: Simplify right side
    7,075.37x = 53,511,131.97
  5. Step 5: Solve for x
    x = 53,511,131.97/7,075.37
  6. Step 6: Final answer
    x = 7,563.02

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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.