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Finding the Fourth Proportional to 7,549.96, 10,419.06 and 4,192.99

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Solution

The fourth proportional to 7,549.96, 10,419.06 and 4,192.99 is: 5,786.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.96 : 10,419.06 = 4,192.99 : x
  2. Step 2: Convert to fraction form
    7,549.96/10,419.06 = 4,192.99/x
  3. Step 3: Cross multiply
    7,549.96x = 10,419.06 × 4,192.99
  4. Step 4: Simplify right side
    7,549.96x = 43,687,014.39
  5. Step 5: Solve for x
    x = 43,687,014.39/7,549.96
  6. Step 6: Final answer
    x = 5,786.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.