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Finding the Fourth Proportional to 11,462.65, 17,164.80 and 7,555.21

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Solution

The fourth proportional to 11,462.65, 17,164.80 and 7,555.21 is: 11,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.65 : 17,164.80 = 7,555.21 : x
  2. Step 2: Convert to fraction form
    11,462.65/17,164.80 = 7,555.21/x
  3. Step 3: Cross multiply
    11,462.65x = 17,164.80 × 7,555.21
  4. Step 4: Simplify right side
    11,462.65x = 129,683,668.61
  5. Step 5: Solve for x
    x = 129,683,668.61/11,462.65
  6. Step 6: Final answer
    x = 11,313.59

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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.