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Finding the Fourth Proportional to 10,629.68, 14,668.80 and 6,153.08

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Solution

The fourth proportional to 10,629.68, 14,668.80 and 6,153.08 is: 8,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.68 : 14,668.80 = 6,153.08 : x
  2. Step 2: Convert to fraction form
    10,629.68/14,668.80 = 6,153.08/x
  3. Step 3: Cross multiply
    10,629.68x = 14,668.80 × 6,153.08
  4. Step 4: Simplify right side
    10,629.68x = 90,258,299.90
  5. Step 5: Solve for x
    x = 90,258,299.90/10,629.68
  6. Step 6: Final answer
    x = 8,491.16

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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.