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Finding the Fourth Proportional to 8,632.10, 11,899.62 and 6,106.43

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Solution

The fourth proportional to 8,632.10, 11,899.62 and 6,106.43 is: 8,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.10 : 11,899.62 = 6,106.43 : x
  2. Step 2: Convert to fraction form
    8,632.10/11,899.62 = 6,106.43/x
  3. Step 3: Cross multiply
    8,632.10x = 11,899.62 × 6,106.43
  4. Step 4: Simplify right side
    8,632.10x = 72,664,196.56
  5. Step 5: Solve for x
    x = 72,664,196.56/8,632.10
  6. Step 6: Final answer
    x = 8,417.90

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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.