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Finding the Fourth Proportional to 8,635.68, 12,955.32 and 3,089.16

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Solution

The fourth proportional to 8,635.68, 12,955.32 and 3,089.16 is: 4,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,635.68 : 12,955.32 = 3,089.16 : x
  2. Step 2: Convert to fraction form
    8,635.68/12,955.32 = 3,089.16/x
  3. Step 3: Cross multiply
    8,635.68x = 12,955.32 × 3,089.16
  4. Step 4: Simplify right side
    8,635.68x = 40,021,056.33
  5. Step 5: Solve for x
    x = 40,021,056.33/8,635.68
  6. Step 6: Final answer
    x = 4,634.38

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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.