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Finding the Fourth Proportional to 10,438.69, 15,654.15 and 4,196.60

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Solution

The fourth proportional to 10,438.69, 15,654.15 and 4,196.60 is: 6,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.69 : 15,654.15 = 4,196.60 : x
  2. Step 2: Convert to fraction form
    10,438.69/15,654.15 = 4,196.60/x
  3. Step 3: Cross multiply
    10,438.69x = 15,654.15 × 4,196.60
  4. Step 4: Simplify right side
    10,438.69x = 65,694,184.91
  5. Step 5: Solve for x
    x = 65,694,184.91/10,438.69
  6. Step 6: Final answer
    x = 6,293.34

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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.