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Finding the Fourth Proportional to 7,616.24, 10,506.03 and 4,471.82

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Solution

The fourth proportional to 7,616.24, 10,506.03 and 4,471.82 is: 6,168.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.24 : 10,506.03 = 4,471.82 : x
  2. Step 2: Convert to fraction form
    7,616.24/10,506.03 = 4,471.82/x
  3. Step 3: Cross multiply
    7,616.24x = 10,506.03 × 4,471.82
  4. Step 4: Simplify right side
    7,616.24x = 46,981,075.07
  5. Step 5: Solve for x
    x = 46,981,075.07/7,616.24
  6. Step 6: Final answer
    x = 6,168.54

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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.