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Finding the Fourth Proportional to 11,506.55, 17,266.50 and 4,842.56

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Solution

The fourth proportional to 11,506.55, 17,266.50 and 4,842.56 is: 7,266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.55 : 17,266.50 = 4,842.56 : x
  2. Step 2: Convert to fraction form
    11,506.55/17,266.50 = 4,842.56/x
  3. Step 3: Cross multiply
    11,506.55x = 17,266.50 × 4,842.56
  4. Step 4: Simplify right side
    11,506.55x = 83,614,105.41
  5. Step 5: Solve for x
    x = 83,614,105.41/11,506.55
  6. Step 6: Final answer
    x = 7,266.66

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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.