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Finding the Fourth Proportional to 11,078.91, 15,284.97 and 7,047.54

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Solution

The fourth proportional to 11,078.91, 15,284.97 and 7,047.54 is: 9,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,078.91 : 15,284.97 = 7,047.54 : x
  2. Step 2: Convert to fraction form
    11,078.91/15,284.97 = 7,047.54/x
  3. Step 3: Cross multiply
    11,078.91x = 15,284.97 × 7,047.54
  4. Step 4: Simplify right side
    11,078.91x = 107,721,437.47
  5. Step 5: Solve for x
    x = 107,721,437.47/11,078.91
  6. Step 6: Final answer
    x = 9,723.11

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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.