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Finding the Fourth Proportional to 7,390.84, 11,028.11 and 7,140.28

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Solution

The fourth proportional to 7,390.84, 11,028.11 and 7,140.28 is: 10,654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.84 : 11,028.11 = 7,140.28 : x
  2. Step 2: Convert to fraction form
    7,390.84/11,028.11 = 7,140.28/x
  3. Step 3: Cross multiply
    7,390.84x = 11,028.11 × 7,140.28
  4. Step 4: Simplify right side
    7,390.84x = 78,743,793.27
  5. Step 5: Solve for x
    x = 78,743,793.27/7,390.84
  6. Step 6: Final answer
    x = 10,654.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.