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Finding the Fourth Proportional to 8,082.77, 11,154.12 and 4,545.98

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Solution

The fourth proportional to 8,082.77, 11,154.12 and 4,545.98 is: 6,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.77 : 11,154.12 = 4,545.98 : x
  2. Step 2: Convert to fraction form
    8,082.77/11,154.12 = 4,545.98/x
  3. Step 3: Cross multiply
    8,082.77x = 11,154.12 × 4,545.98
  4. Step 4: Simplify right side
    8,082.77x = 50,706,417.28
  5. Step 5: Solve for x
    x = 50,706,417.28/8,082.77
  6. Step 6: Final answer
    x = 6,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.