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Finding the Fourth Proportional to 11,834.56, 17,746.35 and 6,905.62

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Solution

The fourth proportional to 11,834.56, 17,746.35 and 6,905.62 is: 10,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,834.56 : 17,746.35 = 6,905.62 : x
  2. Step 2: Convert to fraction form
    11,834.56/17,746.35 = 6,905.62/x
  3. Step 3: Cross multiply
    11,834.56x = 17,746.35 × 6,905.62
  4. Step 4: Simplify right side
    11,834.56x = 122,549,549.49
  5. Step 5: Solve for x
    x = 122,549,549.49/11,834.56
  6. Step 6: Final answer
    x = 10,355.23

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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.