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Finding the Fourth Proportional to 10,516.93, 15,772.65 and 3,119.41

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Solution

The fourth proportional to 10,516.93, 15,772.65 and 3,119.41 is: 4,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,516.93 : 15,772.65 = 3,119.41 : x
  2. Step 2: Convert to fraction form
    10,516.93/15,772.65 = 3,119.41/x
  3. Step 3: Cross multiply
    10,516.93x = 15,772.65 × 3,119.41
  4. Step 4: Simplify right side
    10,516.93x = 49,201,362.14
  5. Step 5: Solve for x
    x = 49,201,362.14/10,516.93
  6. Step 6: Final answer
    x = 4,678.30

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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.