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Finding the Fourth Proportional to 8,876.82, 13,315.20 and 4,983.96

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Solution

The fourth proportional to 8,876.82, 13,315.20 and 4,983.96 is: 7,475.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,876.82 : 13,315.20 = 4,983.96 : x
  2. Step 2: Convert to fraction form
    8,876.82/13,315.20 = 4,983.96/x
  3. Step 3: Cross multiply
    8,876.82x = 13,315.20 × 4,983.96
  4. Step 4: Simplify right side
    8,876.82x = 66,362,424.19
  5. Step 5: Solve for x
    x = 66,362,424.19/8,876.82
  6. Step 6: Final answer
    x = 7,475.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.