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Finding the Fourth Proportional to 7,609.69, 11,398.35 and 3,655.14

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Solution

The fourth proportional to 7,609.69, 11,398.35 and 3,655.14 is: 5,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609.69 : 11,398.35 = 3,655.14 : x
  2. Step 2: Convert to fraction form
    7,609.69/11,398.35 = 3,655.14/x
  3. Step 3: Cross multiply
    7,609.69x = 11,398.35 × 3,655.14
  4. Step 4: Simplify right side
    7,609.69x = 41,662,565.02
  5. Step 5: Solve for x
    x = 41,662,565.02/7,609.69
  6. Step 6: Final answer
    x = 5,474.94

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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.