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Finding the Fourth Proportional to 11,680.16, 17,509.82 and 4,282.89

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Solution

The fourth proportional to 11,680.16, 17,509.82 and 4,282.89 is: 6,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.16 : 17,509.82 = 4,282.89 : x
  2. Step 2: Convert to fraction form
    11,680.16/17,509.82 = 4,282.89/x
  3. Step 3: Cross multiply
    11,680.16x = 17,509.82 × 4,282.89
  4. Step 4: Simplify right side
    11,680.16x = 74,992,632.98
  5. Step 5: Solve for x
    x = 74,992,632.98/11,680.16
  6. Step 6: Final answer
    x = 6,420.51

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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.