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Finding the Fourth Proportional to 11,678.75, 17,480.18 and 6,400.46

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Solution

The fourth proportional to 11,678.75, 17,480.18 and 6,400.46 is: 9,579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.75 : 17,480.18 = 6,400.46 : x
  2. Step 2: Convert to fraction form
    11,678.75/17,480.18 = 6,400.46/x
  3. Step 3: Cross multiply
    11,678.75x = 17,480.18 × 6,400.46
  4. Step 4: Simplify right side
    11,678.75x = 111,881,073.48
  5. Step 5: Solve for x
    x = 111,881,073.48/11,678.75
  6. Step 6: Final answer
    x = 9,579.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.