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Finding the Fourth Proportional to 7,703.48, 11,550.90 and 5,241.62

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Solution

The fourth proportional to 7,703.48, 11,550.90 and 5,241.62 is: 7,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.48 : 11,550.90 = 5,241.62 : x
  2. Step 2: Convert to fraction form
    7,703.48/11,550.90 = 5,241.62/x
  3. Step 3: Cross multiply
    7,703.48x = 11,550.90 × 5,241.62
  4. Step 4: Simplify right side
    7,703.48x = 60,545,428.46
  5. Step 5: Solve for x
    x = 60,545,428.46/7,703.48
  6. Step 6: Final answer
    x = 7,859.49

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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.