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Finding the Fourth Proportional to 10,463.63, 14,439.21 and 5,747.81

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Solution

The fourth proportional to 10,463.63, 14,439.21 and 5,747.81 is: 7,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.63 : 14,439.21 = 5,747.81 : x
  2. Step 2: Convert to fraction form
    10,463.63/14,439.21 = 5,747.81/x
  3. Step 3: Cross multiply
    10,463.63x = 14,439.21 × 5,747.81
  4. Step 4: Simplify right side
    10,463.63x = 82,993,835.63
  5. Step 5: Solve for x
    x = 82,993,835.63/10,463.63
  6. Step 6: Final answer
    x = 7,931.65

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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.