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Finding the Fourth Proportional to 7,720, 11,579.98 and 1,876.61

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Solution

The fourth proportional to 7,720, 11,579.98 and 1,876.61 is: 2,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720 : 11,579.98 = 1,876.61 : x
  2. Step 2: Convert to fraction form
    7,720/11,579.98 = 1,876.61/x
  3. Step 3: Cross multiply
    7,720x = 11,579.98 × 1,876.61
  4. Step 4: Simplify right side
    7,720x = 21,731,106.27
  5. Step 5: Solve for x
    x = 21,731,106.27/7,720
  6. Step 6: Final answer
    x = 2,814.91

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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.