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Finding the Fourth Proportional to 8,911.50, 13,368.39 and 4,164.34

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Solution

The fourth proportional to 8,911.50, 13,368.39 and 4,164.34 is: 6,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.50 : 13,368.39 = 4,164.34 : x
  2. Step 2: Convert to fraction form
    8,911.50/13,368.39 = 4,164.34/x
  3. Step 3: Cross multiply
    8,911.50x = 13,368.39 × 4,164.34
  4. Step 4: Simplify right side
    8,911.50x = 55,670,521.21
  5. Step 5: Solve for x
    x = 55,670,521.21/8,911.50
  6. Step 6: Final answer
    x = 6,247.05

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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.