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Finding the Fourth Proportional to 11,683.74, 16,082.64 and 10,189.02

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Solution

The fourth proportional to 11,683.74, 16,082.64 and 10,189.02 is: 14,025.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.74 : 16,082.64 = 10,189.02 : x
  2. Step 2: Convert to fraction form
    11,683.74/16,082.64 = 10,189.02/x
  3. Step 3: Cross multiply
    11,683.74x = 16,082.64 × 10,189.02
  4. Step 4: Simplify right side
    11,683.74x = 163,866,340.61
  5. Step 5: Solve for x
    x = 163,866,340.61/11,683.74
  6. Step 6: Final answer
    x = 14,025.16

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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.