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Finding the Fourth Proportional to 10,434.09, 15,652.10 and 3,772.25

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Solution

The fourth proportional to 10,434.09, 15,652.10 and 3,772.25 is: 5,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.09 : 15,652.10 = 3,772.25 : x
  2. Step 2: Convert to fraction form
    10,434.09/15,652.10 = 3,772.25/x
  3. Step 3: Cross multiply
    10,434.09x = 15,652.10 × 3,772.25
  4. Step 4: Simplify right side
    10,434.09x = 59,043,669.17
  5. Step 5: Solve for x
    x = 59,043,669.17/10,434.09
  6. Step 6: Final answer
    x = 5,658.73

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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.