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Finding the Fourth Proportional to 8,653.85, 12,981.74 and 2,731.58

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Solution

The fourth proportional to 8,653.85, 12,981.74 and 2,731.58 is: 4,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.85 : 12,981.74 = 2,731.58 : x
  2. Step 2: Convert to fraction form
    8,653.85/12,981.74 = 2,731.58/x
  3. Step 3: Cross multiply
    8,653.85x = 12,981.74 × 2,731.58
  4. Step 4: Simplify right side
    8,653.85x = 35,460,651.95
  5. Step 5: Solve for x
    x = 35,460,651.95/8,653.85
  6. Step 6: Final answer
    x = 4,097.67

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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.