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Finding the Fourth Proportional to 7,433.81, 10,257.05 and 4,288.17

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Solution

The fourth proportional to 7,433.81, 10,257.05 and 4,288.17 is: 5,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.81 : 10,257.05 = 4,288.17 : x
  2. Step 2: Convert to fraction form
    7,433.81/10,257.05 = 4,288.17/x
  3. Step 3: Cross multiply
    7,433.81x = 10,257.05 × 4,288.17
  4. Step 4: Simplify right side
    7,433.81x = 43,983,952.66
  5. Step 5: Solve for x
    x = 43,983,952.66/7,433.81
  6. Step 6: Final answer
    x = 5,916.75

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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.