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Finding the Fourth Proportional to 11,655.24, 17,474.22 and 7,037.16

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Solution

The fourth proportional to 11,655.24, 17,474.22 and 7,037.16 is: 10,550.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.24 : 17,474.22 = 7,037.16 : x
  2. Step 2: Convert to fraction form
    11,655.24/17,474.22 = 7,037.16/x
  3. Step 3: Cross multiply
    11,655.24x = 17,474.22 × 7,037.16
  4. Step 4: Simplify right side
    11,655.24x = 122,968,882.02
  5. Step 5: Solve for x
    x = 122,968,882.02/11,655.24
  6. Step 6: Final answer
    x = 10,550.52

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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.