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Finding the Fourth Proportional to 10,934.96, 15,091.08 and 6,218.96

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Solution

The fourth proportional to 10,934.96, 15,091.08 and 6,218.96 is: 8,582.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.96 : 15,091.08 = 6,218.96 : x
  2. Step 2: Convert to fraction form
    10,934.96/15,091.08 = 6,218.96/x
  3. Step 3: Cross multiply
    10,934.96x = 15,091.08 × 6,218.96
  4. Step 4: Simplify right side
    10,934.96x = 93,850,822.88
  5. Step 5: Solve for x
    x = 93,850,822.88/10,934.96
  6. Step 6: Final answer
    x = 8,582.64

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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.