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Finding the Fourth Proportional to 7,209, 10,805.20 and 3,256.00

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Solution

The fourth proportional to 7,209, 10,805.20 and 3,256.00 is: 4,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 10,805.20 = 3,256.00 : x
  2. Step 2: Convert to fraction form
    7,209/10,805.20 = 3,256.00/x
  3. Step 3: Cross multiply
    7,209x = 10,805.20 × 3,256.00
  4. Step 4: Simplify right side
    7,209x = 35,181,696.05
  5. Step 5: Solve for x
    x = 35,181,696.05/7,209
  6. Step 6: Final answer
    x = 4,880.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.