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Finding the Fourth Proportional to 7,454.70, 11,185.16 and 3,758.00

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Solution

The fourth proportional to 7,454.70, 11,185.16 and 3,758.00 is: 5,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.70 : 11,185.16 = 3,758.00 : x
  2. Step 2: Convert to fraction form
    7,454.70/11,185.16 = 3,758.00/x
  3. Step 3: Cross multiply
    7,454.70x = 11,185.16 × 3,758.00
  4. Step 4: Simplify right side
    7,454.70x = 42,033,756.56
  5. Step 5: Solve for x
    x = 42,033,756.56/7,454.70
  6. Step 6: Final answer
    x = 5,638.56

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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.