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Finding the Fourth Proportional to 7,538.63, 10,396.50 and 4,706.27

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Solution

The fourth proportional to 7,538.63, 10,396.50 and 4,706.27 is: 6,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.63 : 10,396.50 = 4,706.27 : x
  2. Step 2: Convert to fraction form
    7,538.63/10,396.50 = 4,706.27/x
  3. Step 3: Cross multiply
    7,538.63x = 10,396.50 × 4,706.27
  4. Step 4: Simplify right side
    7,538.63x = 48,928,745.12
  5. Step 5: Solve for x
    x = 48,928,745.12/7,538.63
  6. Step 6: Final answer
    x = 6,490.40

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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.