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Finding the Fourth Proportional to 8,102.95, 11,182.08 and 4,376.95

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Solution

The fourth proportional to 8,102.95, 11,182.08 and 4,376.95 is: 6,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.95 : 11,182.08 = 4,376.95 : x
  2. Step 2: Convert to fraction form
    8,102.95/11,182.08 = 4,376.95/x
  3. Step 3: Cross multiply
    8,102.95x = 11,182.08 × 4,376.95
  4. Step 4: Simplify right side
    8,102.95x = 48,943,456.41
  5. Step 5: Solve for x
    x = 48,943,456.41/8,102.95
  6. Step 6: Final answer
    x = 6,040.20

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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.