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Finding the Fourth Proportional to 11,552.94, 15,945.52 and 7,301.29

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Solution

The fourth proportional to 11,552.94, 15,945.52 and 7,301.29 is: 10,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.94 : 15,945.52 = 7,301.29 : x
  2. Step 2: Convert to fraction form
    11,552.94/15,945.52 = 7,301.29/x
  3. Step 3: Cross multiply
    11,552.94x = 15,945.52 × 7,301.29
  4. Step 4: Simplify right side
    11,552.94x = 116,422,865.72
  5. Step 5: Solve for x
    x = 116,422,865.72/11,552.94
  6. Step 6: Final answer
    x = 10,077.34

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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.