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Finding the Fourth Proportional to 7,643.22, 10,544.40 and 4,658.64

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Solution

The fourth proportional to 7,643.22, 10,544.40 and 4,658.64 is: 6,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.22 : 10,544.40 = 4,658.64 : x
  2. Step 2: Convert to fraction form
    7,643.22/10,544.40 = 4,658.64/x
  3. Step 3: Cross multiply
    7,643.22x = 10,544.40 × 4,658.64
  4. Step 4: Simplify right side
    7,643.22x = 49,122,563.62
  5. Step 5: Solve for x
    x = 49,122,563.62/7,643.22
  6. Step 6: Final answer
    x = 6,426.95

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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.