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Finding the Fourth Proportional to 7,680.81, 11,518.76 and 2,999.69

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Solution

The fourth proportional to 7,680.81, 11,518.76 and 2,999.69 is: 4,498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.81 : 11,518.76 = 2,999.69 : x
  2. Step 2: Convert to fraction form
    7,680.81/11,518.76 = 2,999.69/x
  3. Step 3: Cross multiply
    7,680.81x = 11,518.76 × 2,999.69
  4. Step 4: Simplify right side
    7,680.81x = 34,552,659.09
  5. Step 5: Solve for x
    x = 34,552,659.09/7,680.81
  6. Step 6: Final answer
    x = 4,498.57

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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.