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Finding the Fourth Proportional to 11,540.96, 15,923.95 and 7,064.36

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Solution

The fourth proportional to 11,540.96, 15,923.95 and 7,064.36 is: 9,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.96 : 15,923.95 = 7,064.36 : x
  2. Step 2: Convert to fraction form
    11,540.96/15,923.95 = 7,064.36/x
  3. Step 3: Cross multiply
    11,540.96x = 15,923.95 × 7,064.36
  4. Step 4: Simplify right side
    11,540.96x = 112,492,418.14
  5. Step 5: Solve for x
    x = 112,492,418.14/11,540.96
  6. Step 6: Final answer
    x = 9,747.24

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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.