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Finding the Fourth Proportional to 7,939.99, 10,932.23 and 6,742.46

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Solution

The fourth proportional to 7,939.99, 10,932.23 and 6,742.46 is: 9,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.99 : 10,932.23 = 6,742.46 : x
  2. Step 2: Convert to fraction form
    7,939.99/10,932.23 = 6,742.46/x
  3. Step 3: Cross multiply
    7,939.99x = 10,932.23 × 6,742.46
  4. Step 4: Simplify right side
    7,939.99x = 73,710,140.34
  5. Step 5: Solve for x
    x = 73,710,140.34/7,939.99
  6. Step 6: Final answer
    x = 9,283.41

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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.