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Finding the Fourth Proportional to 7,633.64, 10,539.57 and 4,766.74

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Solution

The fourth proportional to 7,633.64, 10,539.57 and 4,766.74 is: 6,581.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.64 : 10,539.57 = 4,766.74 : x
  2. Step 2: Convert to fraction form
    7,633.64/10,539.57 = 4,766.74/x
  3. Step 3: Cross multiply
    7,633.64x = 10,539.57 × 4,766.74
  4. Step 4: Simplify right side
    7,633.64x = 50,239,406.49
  5. Step 5: Solve for x
    x = 50,239,406.49/7,633.64
  6. Step 6: Final answer
    x = 6,581.32

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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.