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Finding the Fourth Proportional to 10,773.98, 14,868.05 and 6,296.83

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Solution

The fourth proportional to 10,773.98, 14,868.05 and 6,296.83 is: 8,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,773.98 : 14,868.05 = 6,296.83 : x
  2. Step 2: Convert to fraction form
    10,773.98/14,868.05 = 6,296.83/x
  3. Step 3: Cross multiply
    10,773.98x = 14,868.05 × 6,296.83
  4. Step 4: Simplify right side
    10,773.98x = 93,621,583.28
  5. Step 5: Solve for x
    x = 93,621,583.28/10,773.98
  6. Step 6: Final answer
    x = 8,689.60

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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.