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Finding the Fourth Proportional to 8,665.65, 11,955.38 and 5,683.14

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Solution

The fourth proportional to 8,665.65, 11,955.38 and 5,683.14 is: 7,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.65 : 11,955.38 = 5,683.14 : x
  2. Step 2: Convert to fraction form
    8,665.65/11,955.38 = 5,683.14/x
  3. Step 3: Cross multiply
    8,665.65x = 11,955.38 × 5,683.14
  4. Step 4: Simplify right side
    8,665.65x = 67,944,069.88
  5. Step 5: Solve for x
    x = 67,944,069.88/8,665.65
  6. Step 6: Final answer
    x = 7,840.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.