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Finding the Fourth Proportional to 11,427.60, 17,122.64 and 7,035.80

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Solution

The fourth proportional to 11,427.60, 17,122.64 and 7,035.80 is: 10,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,427.60 : 17,122.64 = 7,035.80 : x
  2. Step 2: Convert to fraction form
    11,427.60/17,122.64 = 7,035.80/x
  3. Step 3: Cross multiply
    11,427.60x = 17,122.64 × 7,035.80
  4. Step 4: Simplify right side
    11,427.60x = 120,471,470.51
  5. Step 5: Solve for x
    x = 120,471,470.51/11,427.60
  6. Step 6: Final answer
    x = 10,542.15

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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.