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Finding the Fourth Proportional to 10,813.64, 14,922.54 and 6,097.82

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Solution

The fourth proportional to 10,813.64, 14,922.54 and 6,097.82 is: 8,414.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,813.64 : 14,922.54 = 6,097.82 : x
  2. Step 2: Convert to fraction form
    10,813.64/14,922.54 = 6,097.82/x
  3. Step 3: Cross multiply
    10,813.64x = 14,922.54 × 6,097.82
  4. Step 4: Simplify right side
    10,813.64x = 90,994,962.86
  5. Step 5: Solve for x
    x = 90,994,962.86/10,813.64
  6. Step 6: Final answer
    x = 8,414.83

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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.