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Finding the Fourth Proportional to 7,980.48, 11,009.79 and 5,147.46

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Solution

The fourth proportional to 7,980.48, 11,009.79 and 5,147.46 is: 7,101.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.48 : 11,009.79 = 5,147.46 : x
  2. Step 2: Convert to fraction form
    7,980.48/11,009.79 = 5,147.46/x
  3. Step 3: Cross multiply
    7,980.48x = 11,009.79 × 5,147.46
  4. Step 4: Simplify right side
    7,980.48x = 56,672,453.63
  5. Step 5: Solve for x
    x = 56,672,453.63/7,980.48
  6. Step 6: Final answer
    x = 7,101.38

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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.