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Finding the Fourth Proportional to 8,783.24, 13,127.40 and 8,082.72

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Solution

The fourth proportional to 8,783.24, 13,127.40 and 8,082.72 is: 12,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.24 : 13,127.40 = 8,082.72 : x
  2. Step 2: Convert to fraction form
    8,783.24/13,127.40 = 8,082.72/x
  3. Step 3: Cross multiply
    8,783.24x = 13,127.40 × 8,082.72
  4. Step 4: Simplify right side
    8,783.24x = 106,105,098.53
  5. Step 5: Solve for x
    x = 106,105,098.53/8,783.24
  6. Step 6: Final answer
    x = 12,080.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.