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Finding the Fourth Proportional to 11,411.36, 15,716.16 and 9,838.88

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Solution

The fourth proportional to 11,411.36, 15,716.16 and 9,838.88 is: 13,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.36 : 15,716.16 = 9,838.88 : x
  2. Step 2: Convert to fraction form
    11,411.36/15,716.16 = 9,838.88/x
  3. Step 3: Cross multiply
    11,411.36x = 15,716.16 × 9,838.88
  4. Step 4: Simplify right side
    11,411.36x = 154,629,412.30
  5. Step 5: Solve for x
    x = 154,629,412.30/11,411.36
  6. Step 6: Final answer
    x = 13,550.48

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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.