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Finding the Fourth Proportional to 7,003.08, 10,505.88 and 2,385

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Solution

The fourth proportional to 7,003.08, 10,505.88 and 2,385 is: 3,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.08 : 10,505.88 = 2,385 : x
  2. Step 2: Convert to fraction form
    7,003.08/10,505.88 = 2,385/x
  3. Step 3: Cross multiply
    7,003.08x = 10,505.88 × 2,385
  4. Step 4: Simplify right side
    7,003.08x = 25,056,523.80
  5. Step 5: Solve for x
    x = 25,056,523.80/7,003.08
  6. Step 6: Final answer
    x = 3,577.93

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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.