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Finding the Fourth Proportional to 10,191.24, 14,064.48 and 7,668.81

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Solution

The fourth proportional to 10,191.24, 14,064.48 and 7,668.81 is: 10,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.24 : 14,064.48 = 7,668.81 : x
  2. Step 2: Convert to fraction form
    10,191.24/14,064.48 = 7,668.81/x
  3. Step 3: Cross multiply
    10,191.24x = 14,064.48 × 7,668.81
  4. Step 4: Simplify right side
    10,191.24x = 107,857,824.87
  5. Step 5: Solve for x
    x = 107,857,824.87/10,191.24
  6. Step 6: Final answer
    x = 10,583.39

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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.