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Finding the Fourth Proportional to 10,516.30, 15,772 and 3,118.96

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Solution

The fourth proportional to 10,516.30, 15,772 and 3,118.96 is: 4,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.30 : 15,772 = 3,118.96 : x
  2. Step 2: Convert to fraction form
    10,516.30/15,772 = 3,118.96/x
  3. Step 3: Cross multiply
    10,516.30x = 15,772 × 3,118.96
  4. Step 4: Simplify right side
    10,516.30x = 49,192,237.12
  5. Step 5: Solve for x
    x = 49,192,237.12/10,516.30
  6. Step 6: Final answer
    x = 4,677.71

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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.