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Finding the Fourth Proportional to 10,817.93, 14,928.77 and 5,849.93

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Solution

The fourth proportional to 10,817.93, 14,928.77 and 5,849.93 is: 8,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.93 : 14,928.77 = 5,849.93 : x
  2. Step 2: Convert to fraction form
    10,817.93/14,928.77 = 5,849.93/x
  3. Step 3: Cross multiply
    10,817.93x = 14,928.77 × 5,849.93
  4. Step 4: Simplify right side
    10,817.93x = 87,332,230.24
  5. Step 5: Solve for x
    x = 87,332,230.24/10,817.93
  6. Step 6: Final answer
    x = 8,072.92

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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.