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Finding the Fourth Proportional to 10,562.36, 15,844.98 and 3,635

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Solution

The fourth proportional to 10,562.36, 15,844.98 and 3,635 is: 5,453.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562.36 : 15,844.98 = 3,635 : x
  2. Step 2: Convert to fraction form
    10,562.36/15,844.98 = 3,635/x
  3. Step 3: Cross multiply
    10,562.36x = 15,844.98 × 3,635
  4. Step 4: Simplify right side
    10,562.36x = 57,596,502.30
  5. Step 5: Solve for x
    x = 57,596,502.30/10,562.36
  6. Step 6: Final answer
    x = 5,453.00

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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.