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Finding the Fourth Proportional to 8,967.67, 13,470.96 and 7,583.78

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Solution

The fourth proportional to 8,967.67, 13,470.96 and 7,583.78 is: 11,392.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,967.67 : 13,470.96 = 7,583.78 : x
  2. Step 2: Convert to fraction form
    8,967.67/13,470.96 = 7,583.78/x
  3. Step 3: Cross multiply
    8,967.67x = 13,470.96 × 7,583.78
  4. Step 4: Simplify right side
    8,967.67x = 102,160,797.03
  5. Step 5: Solve for x
    x = 102,160,797.03/8,967.67
  6. Step 6: Final answer
    x = 11,392.13

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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.