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Finding the Fourth Proportional to 11,622.28, 16,039.04 and 6,842.46

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Solution

The fourth proportional to 11,622.28, 16,039.04 and 6,842.46 is: 9,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,622.28 : 16,039.04 = 6,842.46 : x
  2. Step 2: Convert to fraction form
    11,622.28/16,039.04 = 6,842.46/x
  3. Step 3: Cross multiply
    11,622.28x = 16,039.04 × 6,842.46
  4. Step 4: Simplify right side
    11,622.28x = 109,746,489.64
  5. Step 5: Solve for x
    x = 109,746,489.64/11,622.28
  6. Step 6: Final answer
    x = 9,442.77

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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.