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Finding the Fourth Proportional to 10,435.70, 15,654.02 and 3,416.12

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Solution

The fourth proportional to 10,435.70, 15,654.02 and 3,416.12 is: 5,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.70 : 15,654.02 = 3,416.12 : x
  2. Step 2: Convert to fraction form
    10,435.70/15,654.02 = 3,416.12/x
  3. Step 3: Cross multiply
    10,435.70x = 15,654.02 × 3,416.12
  4. Step 4: Simplify right side
    10,435.70x = 53,476,010.80
  5. Step 5: Solve for x
    x = 53,476,010.80/10,435.70
  6. Step 6: Final answer
    x = 5,124.33

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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.