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Finding the Fourth Proportional to 7,483.50, 10,327.01 and 4,080.38

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Solution

The fourth proportional to 7,483.50, 10,327.01 and 4,080.38 is: 5,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,483.50 : 10,327.01 = 4,080.38 : x
  2. Step 2: Convert to fraction form
    7,483.50/10,327.01 = 4,080.38/x
  3. Step 3: Cross multiply
    7,483.50x = 10,327.01 × 4,080.38
  4. Step 4: Simplify right side
    7,483.50x = 42,138,125.06
  5. Step 5: Solve for x
    x = 42,138,125.06/7,483.50
  6. Step 6: Final answer
    x = 5,630.80

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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.