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Finding the Fourth Proportional to 10,434.70, 15,652.52 and 3,415.12

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Solution

The fourth proportional to 10,434.70, 15,652.52 and 3,415.12 is: 5,122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.70 : 15,652.52 = 3,415.12 : x
  2. Step 2: Convert to fraction form
    10,434.70/15,652.52 = 3,415.12/x
  3. Step 3: Cross multiply
    10,434.70x = 15,652.52 × 3,415.12
  4. Step 4: Simplify right side
    10,434.70x = 53,455,236.59
  5. Step 5: Solve for x
    x = 53,455,236.59/10,434.70
  6. Step 6: Final answer
    x = 5,122.83

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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.