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Finding the Fourth Proportional to 10,435.93, 15,654.85 and 3,415.98

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Solution

The fourth proportional to 10,435.93, 15,654.85 and 3,415.98 is: 5,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.93 : 15,654.85 = 3,415.98 : x
  2. Step 2: Convert to fraction form
    10,435.93/15,654.85 = 3,415.98/x
  3. Step 3: Cross multiply
    10,435.93x = 15,654.85 × 3,415.98
  4. Step 4: Simplify right side
    10,435.93x = 53,476,645.96
  5. Step 5: Solve for x
    x = 53,476,645.96/10,435.93
  6. Step 6: Final answer
    x = 5,124.28

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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.