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Finding the Fourth Proportional to 11,709.99, 17,564.45 and 4,313.95

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Solution

The fourth proportional to 11,709.99, 17,564.45 and 4,313.95 is: 6,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.99 : 17,564.45 = 4,313.95 : x
  2. Step 2: Convert to fraction form
    11,709.99/17,564.45 = 4,313.95/x
  3. Step 3: Cross multiply
    11,709.99x = 17,564.45 × 4,313.95
  4. Step 4: Simplify right side
    11,709.99x = 75,772,093.60
  5. Step 5: Solve for x
    x = 75,772,093.60/11,709.99
  6. Step 6: Final answer
    x = 6,470.72

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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.