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Finding the Fourth Proportional to 11,064, 16,586.25 and 4,133.64

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Solution

The fourth proportional to 11,064, 16,586.25 and 4,133.64 is: 6,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,064 : 16,586.25 = 4,133.64 : x
  2. Step 2: Convert to fraction form
    11,064/16,586.25 = 4,133.64/x
  3. Step 3: Cross multiply
    11,064x = 16,586.25 × 4,133.64
  4. Step 4: Simplify right side
    11,064x = 68,561,586.45
  5. Step 5: Solve for x
    x = 68,561,586.45/11,064
  6. Step 6: Final answer
    x = 6,196.82

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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.