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Finding the Fourth Proportional to 10,534.68, 15,804.36 and 3,609

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Solution

The fourth proportional to 10,534.68, 15,804.36 and 3,609 is: 5,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.68 : 15,804.36 = 3,609 : x
  2. Step 2: Convert to fraction form
    10,534.68/15,804.36 = 3,609/x
  3. Step 3: Cross multiply
    10,534.68x = 15,804.36 × 3,609
  4. Step 4: Simplify right side
    10,534.68x = 57,037,935.24
  5. Step 5: Solve for x
    x = 57,037,935.24/10,534.68
  6. Step 6: Final answer
    x = 5,414.30

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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.