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Finding the Fourth Proportional to 10,037.56, 15,057.56 and 3,465.24

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Solution

The fourth proportional to 10,037.56, 15,057.56 and 3,465.24 is: 5,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,037.56 : 15,057.56 = 3,465.24 : x
  2. Step 2: Convert to fraction form
    10,037.56/15,057.56 = 3,465.24/x
  3. Step 3: Cross multiply
    10,037.56x = 15,057.56 × 3,465.24
  4. Step 4: Simplify right side
    10,037.56x = 52,178,059.21
  5. Step 5: Solve for x
    x = 52,178,059.21/10,037.56
  6. Step 6: Final answer
    x = 5,198.28

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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.