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Finding the Fourth Proportional to 7,638.36, 10,515.75 and 6,643.11

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Solution

The fourth proportional to 7,638.36, 10,515.75 and 6,643.11 is: 9,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,638.36 : 10,515.75 = 6,643.11 : x
  2. Step 2: Convert to fraction form
    7,638.36/10,515.75 = 6,643.11/x
  3. Step 3: Cross multiply
    7,638.36x = 10,515.75 × 6,643.11
  4. Step 4: Simplify right side
    7,638.36x = 69,857,283.98
  5. Step 5: Solve for x
    x = 69,857,283.98/7,638.36
  6. Step 6: Final answer
    x = 9,145.59

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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.