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Finding the Fourth Proportional to 11,538.56, 17,314.26 and 8,782.40

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Solution

The fourth proportional to 11,538.56, 17,314.26 and 8,782.40 is: 13,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.56 : 17,314.26 = 8,782.40 : x
  2. Step 2: Convert to fraction form
    11,538.56/17,314.26 = 8,782.40/x
  3. Step 3: Cross multiply
    11,538.56x = 17,314.26 × 8,782.40
  4. Step 4: Simplify right side
    11,538.56x = 152,060,757.02
  5. Step 5: Solve for x
    x = 152,060,757.02/11,538.56
  6. Step 6: Final answer
    x = 13,178.49

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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.