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Finding the Fourth Proportional to 7,697.37, 10,622.49 and 4,340.35

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Solution

The fourth proportional to 7,697.37, 10,622.49 and 4,340.35 is: 5,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.37 : 10,622.49 = 4,340.35 : x
  2. Step 2: Convert to fraction form
    7,697.37/10,622.49 = 4,340.35/x
  3. Step 3: Cross multiply
    7,697.37x = 10,622.49 × 4,340.35
  4. Step 4: Simplify right side
    7,697.37x = 46,105,249.66
  5. Step 5: Solve for x
    x = 46,105,249.66/7,697.37
  6. Step 6: Final answer
    x = 5,989.74

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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.