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Finding the Fourth Proportional to 8,326.62, 11,430.54 and 7,145.64

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Solution

The fourth proportional to 8,326.62, 11,430.54 and 7,145.64 is: 9,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,326.62 : 11,430.54 = 7,145.64 : x
  2. Step 2: Convert to fraction form
    8,326.62/11,430.54 = 7,145.64/x
  3. Step 3: Cross multiply
    8,326.62x = 11,430.54 × 7,145.64
  4. Step 4: Simplify right side
    8,326.62x = 81,678,523.85
  5. Step 5: Solve for x
    x = 81,678,523.85/8,326.62
  6. Step 6: Final answer
    x = 9,809.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.