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Finding the Fourth Proportional to 7,598.82, 11,402.32 and 3,703.23

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Solution

The fourth proportional to 7,598.82, 11,402.32 and 3,703.23 is: 5,556.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.82 : 11,402.32 = 3,703.23 : x
  2. Step 2: Convert to fraction form
    7,598.82/11,402.32 = 3,703.23/x
  3. Step 3: Cross multiply
    7,598.82x = 11,402.32 × 3,703.23
  4. Step 4: Simplify right side
    7,598.82x = 42,225,413.49
  5. Step 5: Solve for x
    x = 42,225,413.49/7,598.82
  6. Step 6: Final answer
    x = 5,556.84

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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.