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Finding the Fourth Proportional to 11,780.57, 17,678.94 and 4,855.07

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Solution

The fourth proportional to 11,780.57, 17,678.94 and 4,855.07 is: 7,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.57 : 17,678.94 = 4,855.07 : x
  2. Step 2: Convert to fraction form
    11,780.57/17,678.94 = 4,855.07/x
  3. Step 3: Cross multiply
    11,780.57x = 17,678.94 × 4,855.07
  4. Step 4: Simplify right side
    11,780.57x = 85,832,491.23
  5. Step 5: Solve for x
    x = 85,832,491.23/11,780.57
  6. Step 6: Final answer
    x = 7,285.94

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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.