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Finding the Fourth Proportional to 11,078.81, 15,283.91 and 7,043.48

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Solution

The fourth proportional to 11,078.81, 15,283.91 and 7,043.48 is: 9,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.81 : 15,283.91 = 7,043.48 : x
  2. Step 2: Convert to fraction form
    11,078.81/15,283.91 = 7,043.48/x
  3. Step 3: Cross multiply
    11,078.81x = 15,283.91 × 7,043.48
  4. Step 4: Simplify right side
    11,078.81x = 107,651,905.06
  5. Step 5: Solve for x
    x = 107,651,905.06/11,078.81
  6. Step 6: Final answer
    x = 9,716.92

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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.