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Finding the Fourth Proportional to 10,728.66, 14,804.70 and 6,012.30

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Solution

The fourth proportional to 10,728.66, 14,804.70 and 6,012.30 is: 8,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.66 : 14,804.70 = 6,012.30 : x
  2. Step 2: Convert to fraction form
    10,728.66/14,804.70 = 6,012.30/x
  3. Step 3: Cross multiply
    10,728.66x = 14,804.70 × 6,012.30
  4. Step 4: Simplify right side
    10,728.66x = 89,010,297.81
  5. Step 5: Solve for x
    x = 89,010,297.81/10,728.66
  6. Step 6: Final answer
    x = 8,296.50

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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.