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Finding the Fourth Proportional to 8,965.71, 13,451.30 and 4,586.24

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Solution

The fourth proportional to 8,965.71, 13,451.30 and 4,586.24 is: 6,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,965.71 : 13,451.30 = 4,586.24 : x
  2. Step 2: Convert to fraction form
    8,965.71/13,451.30 = 4,586.24/x
  3. Step 3: Cross multiply
    8,965.71x = 13,451.30 × 4,586.24
  4. Step 4: Simplify right side
    8,965.71x = 61,690,890.11
  5. Step 5: Solve for x
    x = 61,690,890.11/8,965.71
  6. Step 6: Final answer
    x = 6,880.76

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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.