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Finding the Fourth Proportional to 8,082.70, 11,185.23 and 7,888.30

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Solution

The fourth proportional to 8,082.70, 11,185.23 and 7,888.30 is: 10,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.70 : 11,185.23 = 7,888.30 : x
  2. Step 2: Convert to fraction form
    8,082.70/11,185.23 = 7,888.30/x
  3. Step 3: Cross multiply
    8,082.70x = 11,185.23 × 7,888.30
  4. Step 4: Simplify right side
    8,082.70x = 88,232,449.81
  5. Step 5: Solve for x
    x = 88,232,449.81/8,082.70
  6. Step 6: Final answer
    x = 10,916.21

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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.