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Finding the Fourth Proportional to 10,728.40, 14,804.76 and 6,252.28

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Solution

The fourth proportional to 10,728.40, 14,804.76 and 6,252.28 is: 8,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.40 : 14,804.76 = 6,252.28 : x
  2. Step 2: Convert to fraction form
    10,728.40/14,804.76 = 6,252.28/x
  3. Step 3: Cross multiply
    10,728.40x = 14,804.76 × 6,252.28
  4. Step 4: Simplify right side
    10,728.40x = 92,563,504.85
  5. Step 5: Solve for x
    x = 92,563,504.85/10,728.40
  6. Step 6: Final answer
    x = 8,627.89

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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.