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Finding the Fourth Proportional to 11,284.43, 15,602.24 and 9,883.17

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Solution

The fourth proportional to 11,284.43, 15,602.24 and 9,883.17 is: 13,664.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.43 : 15,602.24 = 9,883.17 : x
  2. Step 2: Convert to fraction form
    11,284.43/15,602.24 = 9,883.17/x
  3. Step 3: Cross multiply
    11,284.43x = 15,602.24 × 9,883.17
  4. Step 4: Simplify right side
    11,284.43x = 154,199,615.01
  5. Step 5: Solve for x
    x = 154,199,615.01/11,284.43
  6. Step 6: Final answer
    x = 13,664.81

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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.