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Finding the Fourth Proportional to 11,471.60, 17,207.76 and 4,075.94

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Solution

The fourth proportional to 11,471.60, 17,207.76 and 4,075.94 is: 6,114.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.60 : 17,207.76 = 4,075.94 : x
  2. Step 2: Convert to fraction form
    11,471.60/17,207.76 = 4,075.94/x
  3. Step 3: Cross multiply
    11,471.60x = 17,207.76 × 4,075.94
  4. Step 4: Simplify right side
    11,471.60x = 70,137,797.29
  5. Step 5: Solve for x
    x = 70,137,797.29/11,471.60
  6. Step 6: Final answer
    x = 6,114.04

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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.