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Finding the Fourth Proportional to 10,178.94, 14,047.46 and 6,199.41

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Solution

The fourth proportional to 10,178.94, 14,047.46 and 6,199.41 is: 8,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.94 : 14,047.46 = 6,199.41 : x
  2. Step 2: Convert to fraction form
    10,178.94/14,047.46 = 6,199.41/x
  3. Step 3: Cross multiply
    10,178.94x = 14,047.46 × 6,199.41
  4. Step 4: Simplify right side
    10,178.94x = 87,085,964.00
  5. Step 5: Solve for x
    x = 87,085,964.00/10,178.94
  6. Step 6: Final answer
    x = 8,555.50

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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.