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Finding the Fourth Proportional to 12,161.16, 16,782.41 and 6,572.16

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Solution

The fourth proportional to 12,161.16, 16,782.41 and 6,572.16 is: 9,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,161.16 : 16,782.41 = 6,572.16 : x
  2. Step 2: Convert to fraction form
    12,161.16/16,782.41 = 6,572.16/x
  3. Step 3: Cross multiply
    12,161.16x = 16,782.41 × 6,572.16
  4. Step 4: Simplify right side
    12,161.16x = 110,296,683.71
  5. Step 5: Solve for x
    x = 110,296,683.71/12,161.16
  6. Step 6: Final answer
    x = 9,069.59

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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.