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Finding the Fourth Proportional to 10,835.76, 16,254.16 and 3,910.24

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Solution

The fourth proportional to 10,835.76, 16,254.16 and 3,910.24 is: 5,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.76 : 16,254.16 = 3,910.24 : x
  2. Step 2: Convert to fraction form
    10,835.76/16,254.16 = 3,910.24/x
  3. Step 3: Cross multiply
    10,835.76x = 16,254.16 × 3,910.24
  4. Step 4: Simplify right side
    10,835.76x = 63,557,666.60
  5. Step 5: Solve for x
    x = 63,557,666.60/10,835.76
  6. Step 6: Final answer
    x = 5,865.55

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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.