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Finding the Fourth Proportional to 11,841.85, 16,341.64 and 6,536.76

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Solution

The fourth proportional to 11,841.85, 16,341.64 and 6,536.76 is: 9,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.85 : 16,341.64 = 6,536.76 : x
  2. Step 2: Convert to fraction form
    11,841.85/16,341.64 = 6,536.76/x
  3. Step 3: Cross multiply
    11,841.85x = 16,341.64 × 6,536.76
  4. Step 4: Simplify right side
    11,841.85x = 106,821,378.69
  5. Step 5: Solve for x
    x = 106,821,378.69/11,841.85
  6. Step 6: Final answer
    x = 9,020.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.