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Finding the Fourth Proportional to 11,438.81, 17,158.65 and 3,119.10

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Solution

The fourth proportional to 11,438.81, 17,158.65 and 3,119.10 is: 4,678.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.81 : 17,158.65 = 3,119.10 : x
  2. Step 2: Convert to fraction form
    11,438.81/17,158.65 = 3,119.10/x
  3. Step 3: Cross multiply
    11,438.81x = 17,158.65 × 3,119.10
  4. Step 4: Simplify right side
    11,438.81x = 53,519,545.22
  5. Step 5: Solve for x
    x = 53,519,545.22/11,438.81
  6. Step 6: Final answer
    x = 4,678.77

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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.