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Finding the Fourth Proportional to 7,822.80, 10,789.90 and 4,840.04

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Solution

The fourth proportional to 7,822.80, 10,789.90 and 4,840.04 is: 6,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.80 : 10,789.90 = 4,840.04 : x
  2. Step 2: Convert to fraction form
    7,822.80/10,789.90 = 4,840.04/x
  3. Step 3: Cross multiply
    7,822.80x = 10,789.90 × 4,840.04
  4. Step 4: Simplify right side
    7,822.80x = 52,223,562.47
  5. Step 5: Solve for x
    x = 52,223,562.47/7,822.80
  6. Step 6: Final answer
    x = 6,675.81

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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.