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Finding the Fourth Proportional to 12,082.66, 16,683.51 and 7,835.74

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Solution

The fourth proportional to 12,082.66, 16,683.51 and 7,835.74 is: 10,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082.66 : 16,683.51 = 7,835.74 : x
  2. Step 2: Convert to fraction form
    12,082.66/16,683.51 = 7,835.74/x
  3. Step 3: Cross multiply
    12,082.66x = 16,683.51 × 7,835.74
  4. Step 4: Simplify right side
    12,082.66x = 130,727,646.65
  5. Step 5: Solve for x
    x = 130,727,646.65/12,082.66
  6. Step 6: Final answer
    x = 10,819.44

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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.