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Finding the Fourth Proportional to 11,624.85, 16,042.40 and 6,908.22

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Solution

The fourth proportional to 11,624.85, 16,042.40 and 6,908.22 is: 9,533.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.85 : 16,042.40 = 6,908.22 : x
  2. Step 2: Convert to fraction form
    11,624.85/16,042.40 = 6,908.22/x
  3. Step 3: Cross multiply
    11,624.85x = 16,042.40 × 6,908.22
  4. Step 4: Simplify right side
    11,624.85x = 110,824,428.53
  5. Step 5: Solve for x
    x = 110,824,428.53/11,624.85
  6. Step 6: Final answer
    x = 9,533.41

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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.