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Finding the Fourth Proportional to 8,202.95, 11,320.59 and 4,844.86

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Solution

The fourth proportional to 8,202.95, 11,320.59 and 4,844.86 is: 6,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.95 : 11,320.59 = 4,844.86 : x
  2. Step 2: Convert to fraction form
    8,202.95/11,320.59 = 4,844.86/x
  3. Step 3: Cross multiply
    8,202.95x = 11,320.59 × 4,844.86
  4. Step 4: Simplify right side
    8,202.95x = 54,846,663.53
  5. Step 5: Solve for x
    x = 54,846,663.53/8,202.95
  6. Step 6: Final answer
    x = 6,686.21

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