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Finding the Fourth Proportional to 7,384.16, 11,082.63 and 3,876.65

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Solution

The fourth proportional to 7,384.16, 11,082.63 and 3,876.65 is: 5,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.16 : 11,082.63 = 3,876.65 : x
  2. Step 2: Convert to fraction form
    7,384.16/11,082.63 = 3,876.65/x
  3. Step 3: Cross multiply
    7,384.16x = 11,082.63 × 3,876.65
  4. Step 4: Simplify right side
    7,384.16x = 42,963,422.18
  5. Step 5: Solve for x
    x = 42,963,422.18/7,384.16
  6. Step 6: Final answer
    x = 5,818.33

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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.