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Finding the Fourth Proportional to 7,633.87, 10,535.13 and 4,277.43

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Solution

The fourth proportional to 7,633.87, 10,535.13 and 4,277.43 is: 5,903.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.87 : 10,535.13 = 4,277.43 : x
  2. Step 2: Convert to fraction form
    7,633.87/10,535.13 = 4,277.43/x
  3. Step 3: Cross multiply
    7,633.87x = 10,535.13 × 4,277.43
  4. Step 4: Simplify right side
    7,633.87x = 45,063,281.12
  5. Step 5: Solve for x
    x = 45,063,281.12/7,633.87
  6. Step 6: Final answer
    x = 5,903.07

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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.