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Finding the Fourth Proportional to 8,116.26, 12,178.02 and 4,653.50

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Solution

The fourth proportional to 8,116.26, 12,178.02 and 4,653.50 is: 6,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.26 : 12,178.02 = 4,653.50 : x
  2. Step 2: Convert to fraction form
    8,116.26/12,178.02 = 4,653.50/x
  3. Step 3: Cross multiply
    8,116.26x = 12,178.02 × 4,653.50
  4. Step 4: Simplify right side
    8,116.26x = 56,670,416.07
  5. Step 5: Solve for x
    x = 56,670,416.07/8,116.26
  6. Step 6: Final answer
    x = 6,982.33

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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.