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Finding the Fourth Proportional to 11,354.77, 15,671.46 and 6,638.14

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Solution

The fourth proportional to 11,354.77, 15,671.46 and 6,638.14 is: 9,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.77 : 15,671.46 = 6,638.14 : x
  2. Step 2: Convert to fraction form
    11,354.77/15,671.46 = 6,638.14/x
  3. Step 3: Cross multiply
    11,354.77x = 15,671.46 × 6,638.14
  4. Step 4: Simplify right side
    11,354.77x = 104,029,345.48
  5. Step 5: Solve for x
    x = 104,029,345.48/11,354.77
  6. Step 6: Final answer
    x = 9,161.73

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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.