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Finding the Fourth Proportional to 7,822.40, 11,717.90 and 3,656.68

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Solution

The fourth proportional to 7,822.40, 11,717.90 and 3,656.68 is: 5,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.40 : 11,717.90 = 3,656.68 : x
  2. Step 2: Convert to fraction form
    7,822.40/11,717.90 = 3,656.68/x
  3. Step 3: Cross multiply
    7,822.40x = 11,717.90 × 3,656.68
  4. Step 4: Simplify right side
    7,822.40x = 42,848,610.57
  5. Step 5: Solve for x
    x = 42,848,610.57/7,822.40
  6. Step 6: Final answer
    x = 5,477.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.