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Finding the Fourth Proportional to 7,987.95, 11,023.11 and 5,005.39

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Solution

The fourth proportional to 7,987.95, 11,023.11 and 5,005.39 is: 6,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.95 : 11,023.11 = 5,005.39 : x
  2. Step 2: Convert to fraction form
    7,987.95/11,023.11 = 5,005.39/x
  3. Step 3: Cross multiply
    7,987.95x = 11,023.11 × 5,005.39
  4. Step 4: Simplify right side
    7,987.95x = 55,174,964.56
  5. Step 5: Solve for x
    x = 55,174,964.56/7,987.95
  6. Step 6: Final answer
    x = 6,907.27

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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.