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Finding the Fourth Proportional to 10,666.49, 14,719.73 and 6,192.86

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Solution

The fourth proportional to 10,666.49, 14,719.73 and 6,192.86 is: 8,546.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.49 : 14,719.73 = 6,192.86 : x
  2. Step 2: Convert to fraction form
    10,666.49/14,719.73 = 6,192.86/x
  3. Step 3: Cross multiply
    10,666.49x = 14,719.73 × 6,192.86
  4. Step 4: Simplify right side
    10,666.49x = 91,157,122.56
  5. Step 5: Solve for x
    x = 91,157,122.56/10,666.49
  6. Step 6: Final answer
    x = 8,546.13

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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.