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Finding the Fourth Proportional to 13,527.93, 18,668.52 and 7,866

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Solution

The fourth proportional to 13,527.93, 18,668.52 and 7,866 is: 10,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,527.93 : 18,668.52 = 7,866 : x
  2. Step 2: Convert to fraction form
    13,527.93/18,668.52 = 7,866/x
  3. Step 3: Cross multiply
    13,527.93x = 18,668.52 × 7,866
  4. Step 4: Simplify right side
    13,527.93x = 146,846,578.32
  5. Step 5: Solve for x
    x = 146,846,578.32/13,527.93
  6. Step 6: Final answer
    x = 10,855.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.