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Finding the Fourth Proportional to 6,696.68, 10,038.53 and 3,180.67

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Solution

The fourth proportional to 6,696.68, 10,038.53 and 3,180.67 is: 4,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.68 : 10,038.53 = 3,180.67 : x
  2. Step 2: Convert to fraction form
    6,696.68/10,038.53 = 3,180.67/x
  3. Step 3: Cross multiply
    6,696.68x = 10,038.53 × 3,180.67
  4. Step 4: Simplify right side
    6,696.68x = 31,929,234.07
  5. Step 5: Solve for x
    x = 31,929,234.07/6,696.68
  6. Step 6: Final answer
    x = 4,767.92

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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.