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Finding the Fourth Proportional to 10,896.54, 15,033.23 and 6,646.19

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Solution

The fourth proportional to 10,896.54, 15,033.23 and 6,646.19 is: 9,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.54 : 15,033.23 = 6,646.19 : x
  2. Step 2: Convert to fraction form
    10,896.54/15,033.23 = 6,646.19/x
  3. Step 3: Cross multiply
    10,896.54x = 15,033.23 × 6,646.19
  4. Step 4: Simplify right side
    10,896.54x = 99,913,644.34
  5. Step 5: Solve for x
    x = 99,913,644.34/10,896.54
  6. Step 6: Final answer
    x = 9,169.30

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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.