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Finding the Fourth Proportional to 11,806.34, 17,709.57 and 4,402.13

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Solution

The fourth proportional to 11,806.34, 17,709.57 and 4,402.13 is: 6,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.34 : 17,709.57 = 4,402.13 : x
  2. Step 2: Convert to fraction form
    11,806.34/17,709.57 = 4,402.13/x
  3. Step 3: Cross multiply
    11,806.34x = 17,709.57 × 4,402.13
  4. Step 4: Simplify right side
    11,806.34x = 77,959,740.84
  5. Step 5: Solve for x
    x = 77,959,740.84/11,806.34
  6. Step 6: Final answer
    x = 6,603.21

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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.