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Finding the Fourth Proportional to 10,609.75, 15,902.52 and 5,055.22

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Solution

The fourth proportional to 10,609.75, 15,902.52 and 5,055.22 is: 7,577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.75 : 15,902.52 = 5,055.22 : x
  2. Step 2: Convert to fraction form
    10,609.75/15,902.52 = 5,055.22/x
  3. Step 3: Cross multiply
    10,609.75x = 15,902.52 × 5,055.22
  4. Step 4: Simplify right side
    10,609.75x = 80,390,737.15
  5. Step 5: Solve for x
    x = 80,390,737.15/10,609.75
  6. Step 6: Final answer
    x = 7,577.06

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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.