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Finding the Fourth Proportional to 7,643.04, 11,467.84 and 4,128.96

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Solution

The fourth proportional to 7,643.04, 11,467.84 and 4,128.96 is: 6,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.04 : 11,467.84 = 4,128.96 : x
  2. Step 2: Convert to fraction form
    7,643.04/11,467.84 = 4,128.96/x
  3. Step 3: Cross multiply
    7,643.04x = 11,467.84 × 4,128.96
  4. Step 4: Simplify right side
    7,643.04x = 47,350,252.65
  5. Step 5: Solve for x
    x = 47,350,252.65/7,643.04
  6. Step 6: Final answer
    x = 6,195.21

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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.