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Finding the Fourth Proportional to 11,494.92, 15,864.71 and 7,021.25

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Solution

The fourth proportional to 11,494.92, 15,864.71 and 7,021.25 is: 9,690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.92 : 15,864.71 = 7,021.25 : x
  2. Step 2: Convert to fraction form
    11,494.92/15,864.71 = 7,021.25/x
  3. Step 3: Cross multiply
    11,494.92x = 15,864.71 × 7,021.25
  4. Step 4: Simplify right side
    11,494.92x = 111,389,980.66
  5. Step 5: Solve for x
    x = 111,389,980.66/11,494.92
  6. Step 6: Final answer
    x = 9,690.37

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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.