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Finding the Fourth Proportional to 10,838.08, 16,258.08 and 3,046.96

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Solution

The fourth proportional to 10,838.08, 16,258.08 and 3,046.96 is: 4,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.08 : 16,258.08 = 3,046.96 : x
  2. Step 2: Convert to fraction form
    10,838.08/16,258.08 = 3,046.96/x
  3. Step 3: Cross multiply
    10,838.08x = 16,258.08 × 3,046.96
  4. Step 4: Simplify right side
    10,838.08x = 49,537,719.44
  5. Step 5: Solve for x
    x = 49,537,719.44/10,838.08
  6. Step 6: Final answer
    x = 4,570.71

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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.