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Finding the Fourth Proportional to 11,765.81, 17,648.58 and 3,000.63

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Solution

The fourth proportional to 11,765.81, 17,648.58 and 3,000.63 is: 4,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.81 : 17,648.58 = 3,000.63 : x
  2. Step 2: Convert to fraction form
    11,765.81/17,648.58 = 3,000.63/x
  3. Step 3: Cross multiply
    11,765.81x = 17,648.58 × 3,000.63
  4. Step 4: Simplify right side
    11,765.81x = 52,956,858.61
  5. Step 5: Solve for x
    x = 52,956,858.61/11,765.81
  6. Step 6: Final answer
    x = 4,500.91

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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.