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Finding the Fourth Proportional to 8,814.45, 12,164.58 and 5,825.10

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Solution

The fourth proportional to 8,814.45, 12,164.58 and 5,825.10 is: 8,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,814.45 : 12,164.58 = 5,825.10 : x
  2. Step 2: Convert to fraction form
    8,814.45/12,164.58 = 5,825.10/x
  3. Step 3: Cross multiply
    8,814.45x = 12,164.58 × 5,825.10
  4. Step 4: Simplify right side
    8,814.45x = 70,859,894.96
  5. Step 5: Solve for x
    x = 70,859,894.96/8,814.45
  6. Step 6: Final answer
    x = 8,039.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.