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Finding the Fourth Proportional to 10,835.40, 16,254.44 and 3,813.76

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Solution

The fourth proportional to 10,835.40, 16,254.44 and 3,813.76 is: 5,721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.40 : 16,254.44 = 3,813.76 : x
  2. Step 2: Convert to fraction form
    10,835.40/16,254.44 = 3,813.76/x
  3. Step 3: Cross multiply
    10,835.40x = 16,254.44 × 3,813.76
  4. Step 4: Simplify right side
    10,835.40x = 61,990,533.09
  5. Step 5: Solve for x
    x = 61,990,533.09/10,835.40
  6. Step 6: Final answer
    x = 5,721.11

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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.