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Finding the Fourth Proportional to 8,990.75, 13,486.10 and 2,416.38

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Solution

The fourth proportional to 8,990.75, 13,486.10 and 2,416.38 is: 3,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990.75 : 13,486.10 = 2,416.38 : x
  2. Step 2: Convert to fraction form
    8,990.75/13,486.10 = 2,416.38/x
  3. Step 3: Cross multiply
    8,990.75x = 13,486.10 × 2,416.38
  4. Step 4: Simplify right side
    8,990.75x = 32,587,555.52
  5. Step 5: Solve for x
    x = 32,587,555.52/8,990.75
  6. Step 6: Final answer
    x = 3,624.57

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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.