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Finding the Fourth Proportional to 11,455.90, 17,154.67 and 7,548.46

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Solution

The fourth proportional to 11,455.90, 17,154.67 and 7,548.46 is: 11,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.90 : 17,154.67 = 7,548.46 : x
  2. Step 2: Convert to fraction form
    11,455.90/17,154.67 = 7,548.46/x
  3. Step 3: Cross multiply
    11,455.90x = 17,154.67 × 7,548.46
  4. Step 4: Simplify right side
    11,455.90x = 129,491,340.31
  5. Step 5: Solve for x
    x = 129,491,340.31/11,455.90
  6. Step 6: Final answer
    x = 11,303.46

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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.