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Finding the Fourth Proportional to 8,291.83, 11,441.76 and 4,935.73

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Solution

The fourth proportional to 8,291.83, 11,441.76 and 4,935.73 is: 6,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.83 : 11,441.76 = 4,935.73 : x
  2. Step 2: Convert to fraction form
    8,291.83/11,441.76 = 4,935.73/x
  3. Step 3: Cross multiply
    8,291.83x = 11,441.76 × 4,935.73
  4. Step 4: Simplify right side
    8,291.83x = 56,473,438.08
  5. Step 5: Solve for x
    x = 56,473,438.08/8,291.83
  6. Step 6: Final answer
    x = 6,810.73

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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.