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Finding the Fourth Proportional to 11,106.90, 16,640.10 and 8,782.20

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Solution

The fourth proportional to 11,106.90, 16,640.10 and 8,782.20 is: 13,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.90 : 16,640.10 = 8,782.20 : x
  2. Step 2: Convert to fraction form
    11,106.90/16,640.10 = 8,782.20/x
  3. Step 3: Cross multiply
    11,106.90x = 16,640.10 × 8,782.20
  4. Step 4: Simplify right side
    11,106.90x = 146,136,686.22
  5. Step 5: Solve for x
    x = 146,136,686.22/11,106.90
  6. Step 6: Final answer
    x = 13,157.29

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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.