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Finding the Fourth Proportional to 7,433.56, 10,257.84 and 4,075.78

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Solution

The fourth proportional to 7,433.56, 10,257.84 and 4,075.78 is: 5,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.56 : 10,257.84 = 4,075.78 : x
  2. Step 2: Convert to fraction form
    7,433.56/10,257.84 = 4,075.78/x
  3. Step 3: Cross multiply
    7,433.56x = 10,257.84 × 4,075.78
  4. Step 4: Simplify right side
    7,433.56x = 41,808,699.12
  5. Step 5: Solve for x
    x = 41,808,699.12/7,433.56
  6. Step 6: Final answer
    x = 5,624.32

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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.