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Finding the Fourth Proportional to 12,528.72, 17,283.24 and 7,811.28

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Solution

The fourth proportional to 12,528.72, 17,283.24 and 7,811.28 is: 10,775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,528.72 : 17,283.24 = 7,811.28 : x
  2. Step 2: Convert to fraction form
    12,528.72/17,283.24 = 7,811.28/x
  3. Step 3: Cross multiply
    12,528.72x = 17,283.24 × 7,811.28
  4. Step 4: Simplify right side
    12,528.72x = 135,004,226.95
  5. Step 5: Solve for x
    x = 135,004,226.95/12,528.72
  6. Step 6: Final answer
    x = 10,775.58

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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.