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Finding the Fourth Proportional to 8,719, 13,084.26 and 4,102.36

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Solution

The fourth proportional to 8,719, 13,084.26 and 4,102.36 is: 6,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719 : 13,084.26 = 4,102.36 : x
  2. Step 2: Convert to fraction form
    8,719/13,084.26 = 4,102.36/x
  3. Step 3: Cross multiply
    8,719x = 13,084.26 × 4,102.36
  4. Step 4: Simplify right side
    8,719x = 53,676,344.85
  5. Step 5: Solve for x
    x = 53,676,344.85/8,719
  6. Step 6: Final answer
    x = 6,156.25

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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.