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Finding the Fourth Proportional to 11,557.28, 17,319.28 and 8,948

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Solution

The fourth proportional to 11,557.28, 17,319.28 and 8,948 is: 13,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.28 : 17,319.28 = 8,948 : x
  2. Step 2: Convert to fraction form
    11,557.28/17,319.28 = 8,948/x
  3. Step 3: Cross multiply
    11,557.28x = 17,319.28 × 8,948
  4. Step 4: Simplify right side
    11,557.28x = 154,972,917.44
  5. Step 5: Solve for x
    x = 154,972,917.44/11,557.28
  6. Step 6: Final answer
    x = 13,409.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.