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Finding the Fourth Proportional to 7,563.82, 10,438.08 and 4,206.55

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Solution

The fourth proportional to 7,563.82, 10,438.08 and 4,206.55 is: 5,805.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.82 : 10,438.08 = 4,206.55 : x
  2. Step 2: Convert to fraction form
    7,563.82/10,438.08 = 4,206.55/x
  3. Step 3: Cross multiply
    7,563.82x = 10,438.08 × 4,206.55
  4. Step 4: Simplify right side
    7,563.82x = 43,908,305.42
  5. Step 5: Solve for x
    x = 43,908,305.42/7,563.82
  6. Step 6: Final answer
    x = 5,805.04

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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.