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Finding the Fourth Proportional to 7,001.64, 10,504.08 and 2,321.30

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Solution

The fourth proportional to 7,001.64, 10,504.08 and 2,321.30 is: 3,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.64 : 10,504.08 = 2,321.30 : x
  2. Step 2: Convert to fraction form
    7,001.64/10,504.08 = 2,321.30/x
  3. Step 3: Cross multiply
    7,001.64x = 10,504.08 × 2,321.30
  4. Step 4: Simplify right side
    7,001.64x = 24,383,147.16
  5. Step 5: Solve for x
    x = 24,383,147.16/7,001.64
  6. Step 6: Final answer
    x = 3,482.49

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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.