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Finding the Fourth Proportional to 7,980.31, 10,992.27 and 5,618.35

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Solution

The fourth proportional to 7,980.31, 10,992.27 and 5,618.35 is: 7,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.31 : 10,992.27 = 5,618.35 : x
  2. Step 2: Convert to fraction form
    7,980.31/10,992.27 = 5,618.35/x
  3. Step 3: Cross multiply
    7,980.31x = 10,992.27 × 5,618.35
  4. Step 4: Simplify right side
    7,980.31x = 61,758,420.15
  5. Step 5: Solve for x
    x = 61,758,420.15/7,980.31
  6. Step 6: Final answer
    x = 7,738.85

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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.