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Finding the Fourth Proportional to 7,780.73, 11,669.99 and 4,819.71

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Solution

The fourth proportional to 7,780.73, 11,669.99 and 4,819.71 is: 7,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.73 : 11,669.99 = 4,819.71 : x
  2. Step 2: Convert to fraction form
    7,780.73/11,669.99 = 4,819.71/x
  3. Step 3: Cross multiply
    7,780.73x = 11,669.99 × 4,819.71
  4. Step 4: Simplify right side
    7,780.73x = 56,245,987.17
  5. Step 5: Solve for x
    x = 56,245,987.17/7,780.73
  6. Step 6: Final answer
    x = 7,228.89

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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.