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Finding the Fourth Proportional to 7,624.54, 11,441.20 and 4,114.54

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Solution

The fourth proportional to 7,624.54, 11,441.20 and 4,114.54 is: 6,174.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.54 : 11,441.20 = 4,114.54 : x
  2. Step 2: Convert to fraction form
    7,624.54/11,441.20 = 4,114.54/x
  3. Step 3: Cross multiply
    7,624.54x = 11,441.20 × 4,114.54
  4. Step 4: Simplify right side
    7,624.54x = 47,075,275.05
  5. Step 5: Solve for x
    x = 47,075,275.05/7,624.54
  6. Step 6: Final answer
    x = 6,174.18

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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.