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Finding the Fourth Proportional to 11,703.96, 16,153.02 and 7,524.36

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Solution

The fourth proportional to 11,703.96, 16,153.02 and 7,524.36 is: 10,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703.96 : 16,153.02 = 7,524.36 : x
  2. Step 2: Convert to fraction form
    11,703.96/16,153.02 = 7,524.36/x
  3. Step 3: Cross multiply
    11,703.96x = 16,153.02 × 7,524.36
  4. Step 4: Simplify right side
    11,703.96x = 121,541,137.57
  5. Step 5: Solve for x
    x = 121,541,137.57/11,703.96
  6. Step 6: Final answer
    x = 10,384.62

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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.