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Finding the Fourth Proportional to 11,709.85, 17,556.54 and 4,313.35

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Solution

The fourth proportional to 11,709.85, 17,556.54 and 4,313.35 is: 6,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.85 : 17,556.54 = 4,313.35 : x
  2. Step 2: Convert to fraction form
    11,709.85/17,556.54 = 4,313.35/x
  3. Step 3: Cross multiply
    11,709.85x = 17,556.54 × 4,313.35
  4. Step 4: Simplify right side
    11,709.85x = 75,727,501.81
  5. Step 5: Solve for x
    x = 75,727,501.81/11,709.85
  6. Step 6: Final answer
    x = 6,466.99

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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.