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Finding the Fourth Proportional to 7,386.50, 11,084.94 and 6,680.68

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Solution

The fourth proportional to 7,386.50, 11,084.94 and 6,680.68 is: 10,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.50 : 11,084.94 = 6,680.68 : x
  2. Step 2: Convert to fraction form
    7,386.50/11,084.94 = 6,680.68/x
  3. Step 3: Cross multiply
    7,386.50x = 11,084.94 × 6,680.68
  4. Step 4: Simplify right side
    7,386.50x = 74,054,909.25
  5. Step 5: Solve for x
    x = 74,054,909.25/7,386.50
  6. Step 6: Final answer
    x = 10,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.