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Finding the Fourth Proportional to 7,235.37, 10,854.50 and 3,075.34

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Solution

The fourth proportional to 7,235.37, 10,854.50 and 3,075.34 is: 4,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.37 : 10,854.50 = 3,075.34 : x
  2. Step 2: Convert to fraction form
    7,235.37/10,854.50 = 3,075.34/x
  3. Step 3: Cross multiply
    7,235.37x = 10,854.50 × 3,075.34
  4. Step 4: Simplify right side
    7,235.37x = 33,381,278.03
  5. Step 5: Solve for x
    x = 33,381,278.03/7,235.37
  6. Step 6: Final answer
    x = 4,613.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.