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Finding the Fourth Proportional to 7,096.80, 10,644 and 2,165.28

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Solution

The fourth proportional to 7,096.80, 10,644 and 2,165.28 is: 3,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.80 : 10,644 = 2,165.28 : x
  2. Step 2: Convert to fraction form
    7,096.80/10,644 = 2,165.28/x
  3. Step 3: Cross multiply
    7,096.80x = 10,644 × 2,165.28
  4. Step 4: Simplify right side
    7,096.80x = 23,047,240.32
  5. Step 5: Solve for x
    x = 23,047,240.32/7,096.80
  6. Step 6: Final answer
    x = 3,247.55

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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.