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Finding the Fourth Proportional to 11,680.24, 17,509.94 and 4,282.97

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Solution

The fourth proportional to 11,680.24, 17,509.94 and 4,282.97 is: 6,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.24 : 17,509.94 = 4,282.97 : x
  2. Step 2: Convert to fraction form
    11,680.24/17,509.94 = 4,282.97/x
  3. Step 3: Cross multiply
    11,680.24x = 17,509.94 × 4,282.97
  4. Step 4: Simplify right side
    11,680.24x = 74,994,547.72
  5. Step 5: Solve for x
    x = 74,994,547.72/11,680.24
  6. Step 6: Final answer
    x = 6,420.63

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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.