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Finding the Fourth Proportional to 11,735.07, 17,597.14 and 6,806.12

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Solution

The fourth proportional to 11,735.07, 17,597.14 and 6,806.12 is: 10,206.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735.07 : 17,597.14 = 6,806.12 : x
  2. Step 2: Convert to fraction form
    11,735.07/17,597.14 = 6,806.12/x
  3. Step 3: Cross multiply
    11,735.07x = 17,597.14 × 6,806.12
  4. Step 4: Simplify right side
    11,735.07x = 119,768,246.50
  5. Step 5: Solve for x
    x = 119,768,246.50/11,735.07
  6. Step 6: Final answer
    x = 10,206.01

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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.