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Finding the Fourth Proportional to 6,822.10, 9,411.42 and 5,825.80

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Solution

The fourth proportional to 6,822.10, 9,411.42 and 5,825.80 is: 8,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.10 : 9,411.42 = 5,825.80 : x
  2. Step 2: Convert to fraction form
    6,822.10/9,411.42 = 5,825.80/x
  3. Step 3: Cross multiply
    6,822.10x = 9,411.42 × 5,825.80
  4. Step 4: Simplify right side
    6,822.10x = 54,829,050.64
  5. Step 5: Solve for x
    x = 54,829,050.64/6,822.10
  6. Step 6: Final answer
    x = 8,036.98

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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.