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Finding the Fourth Proportional to 7,013.07, 9,678.90 and 4,028.90

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Solution

The fourth proportional to 7,013.07, 9,678.90 and 4,028.90 is: 5,560.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.07 : 9,678.90 = 4,028.90 : x
  2. Step 2: Convert to fraction form
    7,013.07/9,678.90 = 4,028.90/x
  3. Step 3: Cross multiply
    7,013.07x = 9,678.90 × 4,028.90
  4. Step 4: Simplify right side
    7,013.07x = 38,995,300.07
  5. Step 5: Solve for x
    x = 38,995,300.07/7,013.07
  6. Step 6: Final answer
    x = 5,560.37

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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.