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Finding the Fourth Proportional to 8,182.95, 11,292.37 and 4,825.90

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Solution

The fourth proportional to 8,182.95, 11,292.37 and 4,825.90 is: 6,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.95 : 11,292.37 = 4,825.90 : x
  2. Step 2: Convert to fraction form
    8,182.95/11,292.37 = 4,825.90/x
  3. Step 3: Cross multiply
    8,182.95x = 11,292.37 × 4,825.90
  4. Step 4: Simplify right side
    8,182.95x = 54,495,848.38
  5. Step 5: Solve for x
    x = 54,495,848.38/8,182.95
  6. Step 6: Final answer
    x = 6,659.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.