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Finding the Fourth Proportional to 11,358.96, 15,676.92 and 6,644.40

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Solution

The fourth proportional to 11,358.96, 15,676.92 and 6,644.40 is: 9,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.96 : 15,676.92 = 6,644.40 : x
  2. Step 2: Convert to fraction form
    11,358.96/15,676.92 = 6,644.40/x
  3. Step 3: Cross multiply
    11,358.96x = 15,676.92 × 6,644.40
  4. Step 4: Simplify right side
    11,358.96x = 104,163,727.25
  5. Step 5: Solve for x
    x = 104,163,727.25/11,358.96
  6. Step 6: Final answer
    x = 9,170.18

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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.