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Finding the Fourth Proportional to 7,645.56, 11,468.97 and 3,263.10

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Solution

The fourth proportional to 7,645.56, 11,468.97 and 3,263.10 is: 4,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.56 : 11,468.97 = 3,263.10 : x
  2. Step 2: Convert to fraction form
    7,645.56/11,468.97 = 3,263.10/x
  3. Step 3: Cross multiply
    7,645.56x = 11,468.97 × 3,263.10
  4. Step 4: Simplify right side
    7,645.56x = 37,424,396.01
  5. Step 5: Solve for x
    x = 37,424,396.01/7,645.56
  6. Step 6: Final answer
    x = 4,894.92

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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.