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Finding the Fourth Proportional to 11,675.80, 17,509 and 4,278.16

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Solution

The fourth proportional to 11,675.80, 17,509 and 4,278.16 is: 6,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,675.80 : 17,509 = 4,278.16 : x
  2. Step 2: Convert to fraction form
    11,675.80/17,509 = 4,278.16/x
  3. Step 3: Cross multiply
    11,675.80x = 17,509 × 4,278.16
  4. Step 4: Simplify right side
    11,675.80x = 74,906,303.44
  5. Step 5: Solve for x
    x = 74,906,303.44/11,675.80
  6. Step 6: Final answer
    x = 6,415.52

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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.