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Finding the Fourth Proportional to 7,764.66, 11,643.39 and 2,498.69

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Solution

The fourth proportional to 7,764.66, 11,643.39 and 2,498.69 is: 3,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.66 : 11,643.39 = 2,498.69 : x
  2. Step 2: Convert to fraction form
    7,764.66/11,643.39 = 2,498.69/x
  3. Step 3: Cross multiply
    7,764.66x = 11,643.39 × 2,498.69
  4. Step 4: Simplify right side
    7,764.66x = 29,093,222.16
  5. Step 5: Solve for x
    x = 29,093,222.16/7,764.66
  6. Step 6: Final answer
    x = 3,746.88

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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.