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Finding the Fourth Proportional to 10,305.62, 15,461.32 and 3,384.98

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Solution

The fourth proportional to 10,305.62, 15,461.32 and 3,384.98 is: 5,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.62 : 15,461.32 = 3,384.98 : x
  2. Step 2: Convert to fraction form
    10,305.62/15,461.32 = 3,384.98/x
  3. Step 3: Cross multiply
    10,305.62x = 15,461.32 × 3,384.98
  4. Step 4: Simplify right side
    10,305.62x = 52,336,258.97
  5. Step 5: Solve for x
    x = 52,336,258.97/10,305.62
  6. Step 6: Final answer
    x = 5,078.42

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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.