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Finding the Fourth Proportional to 11,806.57, 17,707.02 and 3,484.34

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Solution

The fourth proportional to 11,806.57, 17,707.02 and 3,484.34 is: 5,225.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.57 : 17,707.02 = 3,484.34 : x
  2. Step 2: Convert to fraction form
    11,806.57/17,707.02 = 3,484.34/x
  3. Step 3: Cross multiply
    11,806.57x = 17,707.02 × 3,484.34
  4. Step 4: Simplify right side
    11,806.57x = 61,697,278.07
  5. Step 5: Solve for x
    x = 61,697,278.07/11,806.57
  6. Step 6: Final answer
    x = 5,225.67

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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.