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Finding the Fourth Proportional to 11,287.36, 15,592.48 and 8,160

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Solution

The fourth proportional to 11,287.36, 15,592.48 and 8,160 is: 11,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.36 : 15,592.48 = 8,160 : x
  2. Step 2: Convert to fraction form
    11,287.36/15,592.48 = 8,160/x
  3. Step 3: Cross multiply
    11,287.36x = 15,592.48 × 8,160
  4. Step 4: Simplify right side
    11,287.36x = 127,234,636.80
  5. Step 5: Solve for x
    x = 127,234,636.80/11,287.36
  6. Step 6: Final answer
    x = 11,272.31

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