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Finding the Fourth Proportional to 13,125.28, 18,103.62 and 7,816

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Solution

The fourth proportional to 13,125.28, 18,103.62 and 7,816 is: 10,780.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.28 : 18,103.62 = 7,816 : x
  2. Step 2: Convert to fraction form
    13,125.28/18,103.62 = 7,816/x
  3. Step 3: Cross multiply
    13,125.28x = 18,103.62 × 7,816
  4. Step 4: Simplify right side
    13,125.28x = 141,497,893.92
  5. Step 5: Solve for x
    x = 141,497,893.92/13,125.28
  6. Step 6: Final answer
    x = 10,780.56

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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.