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Finding the Fourth Proportional to 11,492.70, 17,239.05 and 8,187.90

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Solution

The fourth proportional to 11,492.70, 17,239.05 and 8,187.90 is: 12,281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.70 : 17,239.05 = 8,187.90 : x
  2. Step 2: Convert to fraction form
    11,492.70/17,239.05 = 8,187.90/x
  3. Step 3: Cross multiply
    11,492.70x = 17,239.05 × 8,187.90
  4. Step 4: Simplify right side
    11,492.70x = 141,151,617.50
  5. Step 5: Solve for x
    x = 141,151,617.50/11,492.70
  6. Step 6: Final answer
    x = 12,281.85

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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.