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Finding the Fourth Proportional to 7,000.13, 10,500.03 and 2,839.02

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Solution

The fourth proportional to 7,000.13, 10,500.03 and 2,839.02 is: 4,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.13 : 10,500.03 = 2,839.02 : x
  2. Step 2: Convert to fraction form
    7,000.13/10,500.03 = 2,839.02/x
  3. Step 3: Cross multiply
    7,000.13x = 10,500.03 × 2,839.02
  4. Step 4: Simplify right side
    7,000.13x = 29,809,795.17
  5. Step 5: Solve for x
    x = 29,809,795.17/7,000.13
  6. Step 6: Final answer
    x = 4,258.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.