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Finding the Fourth Proportional to 11,624.20, 16,042.74 and 6,908.48

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Solution

The fourth proportional to 11,624.20, 16,042.74 and 6,908.48 is: 9,534.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.20 : 16,042.74 = 6,908.48 : x
  2. Step 2: Convert to fraction form
    11,624.20/16,042.74 = 6,908.48/x
  3. Step 3: Cross multiply
    11,624.20x = 16,042.74 × 6,908.48
  4. Step 4: Simplify right side
    11,624.20x = 110,830,948.44
  5. Step 5: Solve for x
    x = 110,830,948.44/11,624.20
  6. Step 6: Final answer
    x = 9,534.50

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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.