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Finding the Fourth Proportional to 10,729, 14,804.82 and 6,012.60

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Solution

The fourth proportional to 10,729, 14,804.82 and 6,012.60 is: 8,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,729 : 14,804.82 = 6,012.60 : x
  2. Step 2: Convert to fraction form
    10,729/14,804.82 = 6,012.60/x
  3. Step 3: Cross multiply
    10,729x = 14,804.82 × 6,012.60
  4. Step 4: Simplify right side
    10,729x = 89,015,460.73
  5. Step 5: Solve for x
    x = 89,015,460.73/10,729
  6. Step 6: Final answer
    x = 8,296.72

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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.