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Finding the Fourth Proportional to 7,089, 10,629.40 and 2,157.16

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Solution

The fourth proportional to 7,089, 10,629.40 and 2,157.16 is: 3,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089 : 10,629.40 = 2,157.16 : x
  2. Step 2: Convert to fraction form
    7,089/10,629.40 = 2,157.16/x
  3. Step 3: Cross multiply
    7,089x = 10,629.40 × 2,157.16
  4. Step 4: Simplify right side
    7,089x = 22,929,316.50
  5. Step 5: Solve for x
    x = 22,929,316.50/7,089
  6. Step 6: Final answer
    x = 3,234.49

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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.