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Finding the Fourth Proportional to 7,467.23, 11,170.06 and 6,136

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Solution

The fourth proportional to 7,467.23, 11,170.06 and 6,136 is: 9,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.23 : 11,170.06 = 6,136 : x
  2. Step 2: Convert to fraction form
    7,467.23/11,170.06 = 6,136/x
  3. Step 3: Cross multiply
    7,467.23x = 11,170.06 × 6,136
  4. Step 4: Simplify right side
    7,467.23x = 68,539,488.16
  5. Step 5: Solve for x
    x = 68,539,488.16/7,467.23
  6. Step 6: Final answer
    x = 9,178.70

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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.