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Finding the Fourth Proportional to 11,650.74, 17,461.26 and 5,075.16

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Solution

The fourth proportional to 11,650.74, 17,461.26 and 5,075.16 is: 7,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.74 : 17,461.26 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    11,650.74/17,461.26 = 5,075.16/x
  3. Step 3: Cross multiply
    11,650.74x = 17,461.26 × 5,075.16
  4. Step 4: Simplify right side
    11,650.74x = 88,618,688.30
  5. Step 5: Solve for x
    x = 88,618,688.30/11,650.74
  6. Step 6: Final answer
    x = 7,606.27

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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.