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Finding the Fourth Proportional to 7,980.40, 11,007.36 and 6,488.32

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Solution

The fourth proportional to 7,980.40, 11,007.36 and 6,488.32 is: 8,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,980.40 : 11,007.36 = 6,488.32 : x
  2. Step 2: Convert to fraction form
    7,980.40/11,007.36 = 6,488.32/x
  3. Step 3: Cross multiply
    7,980.40x = 11,007.36 × 6,488.32
  4. Step 4: Simplify right side
    7,980.40x = 71,419,274.04
  5. Step 5: Solve for x
    x = 71,419,274.04/7,980.40
  6. Step 6: Final answer
    x = 8,949.34

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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.