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Finding the Fourth Proportional to 10,190.54, 14,056.97 and 6,407.70

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Solution

The fourth proportional to 10,190.54, 14,056.97 and 6,407.70 is: 8,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.54 : 14,056.97 = 6,407.70 : x
  2. Step 2: Convert to fraction form
    10,190.54/14,056.97 = 6,407.70/x
  3. Step 3: Cross multiply
    10,190.54x = 14,056.97 × 6,407.70
  4. Step 4: Simplify right side
    10,190.54x = 90,072,814.63
  5. Step 5: Solve for x
    x = 90,072,814.63/10,190.54
  6. Step 6: Final answer
    x = 8,838.87

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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.