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Finding the Fourth Proportional to 11,455.60, 17,154.60 and 7,538.80

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Solution

The fourth proportional to 11,455.60, 17,154.60 and 7,538.80 is: 11,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.60 : 17,154.60 = 7,538.80 : x
  2. Step 2: Convert to fraction form
    11,455.60/17,154.60 = 7,538.80/x
  3. Step 3: Cross multiply
    11,455.60x = 17,154.60 × 7,538.80
  4. Step 4: Simplify right side
    11,455.60x = 129,325,098.48
  5. Step 5: Solve for x
    x = 129,325,098.48/11,455.60
  6. Step 6: Final answer
    x = 11,289.25

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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.