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Finding the Fourth Proportional to 11,301.40, 15,594.94 and 6,456.11

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Solution

The fourth proportional to 11,301.40, 15,594.94 and 6,456.11 is: 8,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,301.40 : 15,594.94 = 6,456.11 : x
  2. Step 2: Convert to fraction form
    11,301.40/15,594.94 = 6,456.11/x
  3. Step 3: Cross multiply
    11,301.40x = 15,594.94 × 6,456.11
  4. Step 4: Simplify right side
    11,301.40x = 100,682,578.18
  5. Step 5: Solve for x
    x = 100,682,578.18/11,301.40
  6. Step 6: Final answer
    x = 8,908.86

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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.