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Finding the Fourth Proportional to 7,814.84, 11,720.99 and 2,886.80

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Solution

The fourth proportional to 7,814.84, 11,720.99 and 2,886.80 is: 4,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.84 : 11,720.99 = 2,886.80 : x
  2. Step 2: Convert to fraction form
    7,814.84/11,720.99 = 2,886.80/x
  3. Step 3: Cross multiply
    7,814.84x = 11,720.99 × 2,886.80
  4. Step 4: Simplify right side
    7,814.84x = 33,836,080.89
  5. Step 5: Solve for x
    x = 33,836,080.89/7,814.84
  6. Step 6: Final answer
    x = 4,329.72

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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.