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Finding the Fourth Proportional to 7,182.88, 10,776.32 and 3,284

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Solution

The fourth proportional to 7,182.88, 10,776.32 and 3,284 is: 4,926.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.88 : 10,776.32 = 3,284 : x
  2. Step 2: Convert to fraction form
    7,182.88/10,776.32 = 3,284/x
  3. Step 3: Cross multiply
    7,182.88x = 10,776.32 × 3,284
  4. Step 4: Simplify right side
    7,182.88x = 35,389,434.88
  5. Step 5: Solve for x
    x = 35,389,434.88/7,182.88
  6. Step 6: Final answer
    x = 4,926.91

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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.