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Finding the Fourth Proportional to 7,210.80, 9,955.80 and 5,799.60

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Solution

The fourth proportional to 7,210.80, 9,955.80 and 5,799.60 is: 8,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.80 : 9,955.80 = 5,799.60 : x
  2. Step 2: Convert to fraction form
    7,210.80/9,955.80 = 5,799.60/x
  3. Step 3: Cross multiply
    7,210.80x = 9,955.80 × 5,799.60
  4. Step 4: Simplify right side
    7,210.80x = 57,739,657.68
  5. Step 5: Solve for x
    x = 57,739,657.68/7,210.80
  6. Step 6: Final answer
    x = 8,007.39

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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.