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Finding the Fourth Proportional to 10,933.48, 16,391.58 and 7,813.72

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Solution

The fourth proportional to 10,933.48, 16,391.58 and 7,813.72 is: 11,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.48 : 16,391.58 = 7,813.72 : x
  2. Step 2: Convert to fraction form
    10,933.48/16,391.58 = 7,813.72/x
  3. Step 3: Cross multiply
    10,933.48x = 16,391.58 × 7,813.72
  4. Step 4: Simplify right side
    10,933.48x = 128,079,216.48
  5. Step 5: Solve for x
    x = 128,079,216.48/10,933.48
  6. Step 6: Final answer
    x = 11,714.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.