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Finding the Fourth Proportional to 11,534.50, 17,268.09 and 8,772.00

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Solution

The fourth proportional to 11,534.50, 17,268.09 and 8,772.00 is: 13,132.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,534.50 : 17,268.09 = 8,772.00 : x
  2. Step 2: Convert to fraction form
    11,534.50/17,268.09 = 8,772.00/x
  3. Step 3: Cross multiply
    11,534.50x = 17,268.09 × 8,772.00
  4. Step 4: Simplify right side
    11,534.50x = 151,475,587.83
  5. Step 5: Solve for x
    x = 151,475,587.83/11,534.50
  6. Step 6: Final answer
    x = 13,132.39

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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.