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Finding the Fourth Proportional to 10,696.44, 16,045.14 and 3,771

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Solution

The fourth proportional to 10,696.44, 16,045.14 and 3,771 is: 5,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.44 : 16,045.14 = 3,771 : x
  2. Step 2: Convert to fraction form
    10,696.44/16,045.14 = 3,771/x
  3. Step 3: Cross multiply
    10,696.44x = 16,045.14 × 3,771
  4. Step 4: Simplify right side
    10,696.44x = 60,506,222.94
  5. Step 5: Solve for x
    x = 60,506,222.94/10,696.44
  6. Step 6: Final answer
    x = 5,656.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.