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Finding the Fourth Proportional to 10,246.94, 14,141.03 and 5,770.85

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Solution

The fourth proportional to 10,246.94, 14,141.03 and 5,770.85 is: 7,963.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,246.94 : 14,141.03 = 5,770.85 : x
  2. Step 2: Convert to fraction form
    10,246.94/14,141.03 = 5,770.85/x
  3. Step 3: Cross multiply
    10,246.94x = 14,141.03 × 5,770.85
  4. Step 4: Simplify right side
    10,246.94x = 81,605,762.98
  5. Step 5: Solve for x
    x = 81,605,762.98/10,246.94
  6. Step 6: Final answer
    x = 7,963.92

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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.