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Finding the Fourth Proportional to 8,378.12, 11,553.68 and 5,658.64

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Solution

The fourth proportional to 8,378.12, 11,553.68 and 5,658.64 is: 7,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.12 : 11,553.68 = 5,658.64 : x
  2. Step 2: Convert to fraction form
    8,378.12/11,553.68 = 5,658.64/x
  3. Step 3: Cross multiply
    8,378.12x = 11,553.68 × 5,658.64
  4. Step 4: Simplify right side
    8,378.12x = 65,378,134.22
  5. Step 5: Solve for x
    x = 65,378,134.22/8,378.12
  6. Step 6: Final answer
    x = 7,803.44

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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.