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Finding the Fourth Proportional to 11,056.54, 16,584.24 and 4,130.50

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Solution

The fourth proportional to 11,056.54, 16,584.24 and 4,130.50 is: 6,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,056.54 : 16,584.24 = 4,130.50 : x
  2. Step 2: Convert to fraction form
    11,056.54/16,584.24 = 4,130.50/x
  3. Step 3: Cross multiply
    11,056.54x = 16,584.24 × 4,130.50
  4. Step 4: Simplify right side
    11,056.54x = 68,501,203.32
  5. Step 5: Solve for x
    x = 68,501,203.32/11,056.54
  6. Step 6: Final answer
    x = 6,195.54

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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.