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Finding the Fourth Proportional to 7,773.68, 11,655.05 and 3,609.27

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Solution

The fourth proportional to 7,773.68, 11,655.05 and 3,609.27 is: 5,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.68 : 11,655.05 = 3,609.27 : x
  2. Step 2: Convert to fraction form
    7,773.68/11,655.05 = 3,609.27/x
  3. Step 3: Cross multiply
    7,773.68x = 11,655.05 × 3,609.27
  4. Step 4: Simplify right side
    7,773.68x = 42,066,204.27
  5. Step 5: Solve for x
    x = 42,066,204.27/7,773.68
  6. Step 6: Final answer
    x = 5,411.37

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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.