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Finding the Fourth Proportional to 10,629.41, 14,668.59 and 5,913.59

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Solution

The fourth proportional to 10,629.41, 14,668.59 and 5,913.59 is: 8,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.41 : 14,668.59 = 5,913.59 : x
  2. Step 2: Convert to fraction form
    10,629.41/14,668.59 = 5,913.59/x
  3. Step 3: Cross multiply
    10,629.41x = 14,668.59 × 5,913.59
  4. Step 4: Simplify right side
    10,629.41x = 86,744,027.14
  5. Step 5: Solve for x
    x = 86,744,027.14/10,629.41
  6. Step 6: Final answer
    x = 8,160.76

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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.