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Finding the Fourth Proportional to 10,668.34, 14,724.94 and 6,480.10

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Solution

The fourth proportional to 10,668.34, 14,724.94 and 6,480.10 is: 8,944.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.34 : 14,724.94 = 6,480.10 : x
  2. Step 2: Convert to fraction form
    10,668.34/14,724.94 = 6,480.10/x
  3. Step 3: Cross multiply
    10,668.34x = 14,724.94 × 6,480.10
  4. Step 4: Simplify right side
    10,668.34x = 95,419,010.07
  5. Step 5: Solve for x
    x = 95,419,010.07/10,668.34
  6. Step 6: Final answer
    x = 8,944.13

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