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Finding the Fourth Proportional to 6,519.12, 8,975.71 and 5,101.01

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Solution

The fourth proportional to 6,519.12, 8,975.71 and 5,101.01 is: 7,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.12 : 8,975.71 = 5,101.01 : x
  2. Step 2: Convert to fraction form
    6,519.12/8,975.71 = 5,101.01/x
  3. Step 3: Cross multiply
    6,519.12x = 8,975.71 × 5,101.01
  4. Step 4: Simplify right side
    6,519.12x = 45,785,181.62
  5. Step 5: Solve for x
    x = 45,785,181.62/6,519.12
  6. Step 6: Final answer
    x = 7,023.22

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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.