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Finding the Fourth Proportional to 7,384.80, 11,082.24 and 3,875.88

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Solution

The fourth proportional to 7,384.80, 11,082.24 and 3,875.88 is: 5,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.80 : 11,082.24 = 3,875.88 : x
  2. Step 2: Convert to fraction form
    7,384.80/11,082.24 = 3,875.88/x
  3. Step 3: Cross multiply
    7,384.80x = 11,082.24 × 3,875.88
  4. Step 4: Simplify right side
    7,384.80x = 42,953,432.37
  5. Step 5: Solve for x
    x = 42,953,432.37/7,384.80
  6. Step 6: Final answer
    x = 5,816.47

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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.