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Finding the Fourth Proportional to 7,697.40, 10,622.52 and 4,340.37

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Solution

The fourth proportional to 7,697.40, 10,622.52 and 4,340.37 is: 5,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.40 : 10,622.52 = 4,340.37 : x
  2. Step 2: Convert to fraction form
    7,697.40/10,622.52 = 4,340.37/x
  3. Step 3: Cross multiply
    7,697.40x = 10,622.52 × 4,340.37
  4. Step 4: Simplify right side
    7,697.40x = 46,105,667.13
  5. Step 5: Solve for x
    x = 46,105,667.13/7,697.40
  6. Step 6: Final answer
    x = 5,989.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.