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Finding the Fourth Proportional to 11,830.76, 17,745.75 and 4,808.70

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Solution

The fourth proportional to 11,830.76, 17,745.75 and 4,808.70 is: 7,212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.76 : 17,745.75 = 4,808.70 : x
  2. Step 2: Convert to fraction form
    11,830.76/17,745.75 = 4,808.70/x
  3. Step 3: Cross multiply
    11,830.76x = 17,745.75 × 4,808.70
  4. Step 4: Simplify right side
    11,830.76x = 85,333,988.03
  5. Step 5: Solve for x
    x = 85,333,988.03/11,830.76
  6. Step 6: Final answer
    x = 7,212.89

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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.