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Finding the Fourth Proportional to 11,320.24, 16,978.50 and 3,000.77

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Solution

The fourth proportional to 11,320.24, 16,978.50 and 3,000.77 is: 4,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.24 : 16,978.50 = 3,000.77 : x
  2. Step 2: Convert to fraction form
    11,320.24/16,978.50 = 3,000.77/x
  3. Step 3: Cross multiply
    11,320.24x = 16,978.50 × 3,000.77
  4. Step 4: Simplify right side
    11,320.24x = 50,948,573.45
  5. Step 5: Solve for x
    x = 50,948,573.45/11,320.24
  6. Step 6: Final answer
    x = 4,500.66

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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.