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Finding the Fourth Proportional to 10,688.56, 16,033.16 and 3,668.47

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Solution

The fourth proportional to 10,688.56, 16,033.16 and 3,668.47 is: 5,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.56 : 16,033.16 = 3,668.47 : x
  2. Step 2: Convert to fraction form
    10,688.56/16,033.16 = 3,668.47/x
  3. Step 3: Cross multiply
    10,688.56x = 16,033.16 × 3,668.47
  4. Step 4: Simplify right side
    10,688.56x = 58,817,135.55
  5. Step 5: Solve for x
    x = 58,817,135.55/10,688.56
  6. Step 6: Final answer
    x = 5,502.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.