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Finding the Fourth Proportional to 8,480.64, 11,693.12 and 8,013

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Solution

The fourth proportional to 8,480.64, 11,693.12 and 8,013 is: 11,048.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.64 : 11,693.12 = 8,013 : x
  2. Step 2: Convert to fraction form
    8,480.64/11,693.12 = 8,013/x
  3. Step 3: Cross multiply
    8,480.64x = 11,693.12 × 8,013
  4. Step 4: Simplify right side
    8,480.64x = 93,696,930.50
  5. Step 5: Solve for x
    x = 93,696,930.50/8,480.64
  6. Step 6: Final answer
    x = 11,048.33

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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.