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Finding the Fourth Proportional to 8,021, 11,070.26 and 5,816.84

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Solution

The fourth proportional to 8,021, 11,070.26 and 5,816.84 is: 8,028.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 11,070.26 = 5,816.84 : x
  2. Step 2: Convert to fraction form
    8,021/11,070.26 = 5,816.84/x
  3. Step 3: Cross multiply
    8,021x = 11,070.26 × 5,816.84
  4. Step 4: Simplify right side
    8,021x = 64,393,931.18
  5. Step 5: Solve for x
    x = 64,393,931.18/8,021
  6. Step 6: Final answer
    x = 8,028.17

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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.