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Finding the Fourth Proportional to 11,029.54, 16,535 and 4,784.85

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Solution

The fourth proportional to 11,029.54, 16,535 and 4,784.85 is: 7,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,029.54 : 16,535 = 4,784.85 : x
  2. Step 2: Convert to fraction form
    11,029.54/16,535 = 4,784.85/x
  3. Step 3: Cross multiply
    11,029.54x = 16,535 × 4,784.85
  4. Step 4: Simplify right side
    11,029.54x = 79,117,494.75
  5. Step 5: Solve for x
    x = 79,117,494.75/11,029.54
  6. Step 6: Final answer
    x = 7,173.24

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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.