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Finding the Fourth Proportional to 11,102.88, 16,658.64 and 4,182.24

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Solution

The fourth proportional to 11,102.88, 16,658.64 and 4,182.24 is: 6,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.88 : 16,658.64 = 4,182.24 : x
  2. Step 2: Convert to fraction form
    11,102.88/16,658.64 = 4,182.24/x
  3. Step 3: Cross multiply
    11,102.88x = 16,658.64 × 4,182.24
  4. Step 4: Simplify right side
    11,102.88x = 69,670,430.55
  5. Step 5: Solve for x
    x = 69,670,430.55/11,102.88
  6. Step 6: Final answer
    x = 6,274.99

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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.