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Finding the Fourth Proportional to 10,629.14, 14,668.22 and 6,153.13

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Solution

The fourth proportional to 10,629.14, 14,668.22 and 6,153.13 is: 8,491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.14 : 14,668.22 = 6,153.13 : x
  2. Step 2: Convert to fraction form
    10,629.14/14,668.22 = 6,153.13/x
  3. Step 3: Cross multiply
    10,629.14x = 14,668.22 × 6,153.13
  4. Step 4: Simplify right side
    10,629.14x = 90,255,498.25
  5. Step 5: Solve for x
    x = 90,255,498.25/10,629.14
  6. Step 6: Final answer
    x = 8,491.33

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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.