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Finding the Fourth Proportional to 11,643.62, 16,069.32 and 7,170

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Solution

The fourth proportional to 11,643.62, 16,069.32 and 7,170 is: 9,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.62 : 16,069.32 = 7,170 : x
  2. Step 2: Convert to fraction form
    11,643.62/16,069.32 = 7,170/x
  3. Step 3: Cross multiply
    11,643.62x = 16,069.32 × 7,170
  4. Step 4: Simplify right side
    11,643.62x = 115,217,024.40
  5. Step 5: Solve for x
    x = 115,217,024.40/11,643.62
  6. Step 6: Final answer
    x = 9,895.29

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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.