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Finding the Fourth Proportional to 10,425.58, 15,639.66 and 3,406.30

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Solution

The fourth proportional to 10,425.58, 15,639.66 and 3,406.30 is: 5,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.58 : 15,639.66 = 3,406.30 : x
  2. Step 2: Convert to fraction form
    10,425.58/15,639.66 = 3,406.30/x
  3. Step 3: Cross multiply
    10,425.58x = 15,639.66 × 3,406.30
  4. Step 4: Simplify right side
    10,425.58x = 53,273,373.86
  5. Step 5: Solve for x
    x = 53,273,373.86/10,425.58
  6. Step 6: Final answer
    x = 5,109.87

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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.