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Finding the Fourth Proportional to 10,178.63, 14,047.53 and 5,871.87

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Solution

The fourth proportional to 10,178.63, 14,047.53 and 5,871.87 is: 8,103.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.63 : 14,047.53 = 5,871.87 : x
  2. Step 2: Convert to fraction form
    10,178.63/14,047.53 = 5,871.87/x
  3. Step 3: Cross multiply
    10,178.63x = 14,047.53 × 5,871.87
  4. Step 4: Simplify right side
    10,178.63x = 82,485,269.98
  5. Step 5: Solve for x
    x = 82,485,269.98/10,178.63
  6. Step 6: Final answer
    x = 8,103.77

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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.