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Finding the Fourth Proportional to 11,102.88, 16,658.67 and 5,264.40

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Solution

The fourth proportional to 11,102.88, 16,658.67 and 5,264.40 is: 7,898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.88 : 16,658.67 = 5,264.40 : x
  2. Step 2: Convert to fraction form
    11,102.88/16,658.67 = 5,264.40/x
  3. Step 3: Cross multiply
    11,102.88x = 16,658.67 × 5,264.40
  4. Step 4: Simplify right side
    11,102.88x = 87,697,902.35
  5. Step 5: Solve for x
    x = 87,697,902.35/11,102.88
  6. Step 6: Final answer
    x = 7,898.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.