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Finding the Fourth Proportional to 11,840.94, 17,746.56 and 6,280.56

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Solution

The fourth proportional to 11,840.94, 17,746.56 and 6,280.56 is: 9,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.94 : 17,746.56 = 6,280.56 : x
  2. Step 2: Convert to fraction form
    11,840.94/17,746.56 = 6,280.56/x
  3. Step 3: Cross multiply
    11,840.94x = 17,746.56 × 6,280.56
  4. Step 4: Simplify right side
    11,840.94x = 111,458,334.87
  5. Step 5: Solve for x
    x = 111,458,334.87/11,840.94
  6. Step 6: Final answer
    x = 9,412.96

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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.