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Finding the Fourth Proportional to 10,595.94, 14,622.38 and 5,815.91

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Solution

The fourth proportional to 10,595.94, 14,622.38 and 5,815.91 is: 8,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.94 : 14,622.38 = 5,815.91 : x
  2. Step 2: Convert to fraction form
    10,595.94/14,622.38 = 5,815.91/x
  3. Step 3: Cross multiply
    10,595.94x = 14,622.38 × 5,815.91
  4. Step 4: Simplify right side
    10,595.94x = 85,042,446.07
  5. Step 5: Solve for x
    x = 85,042,446.07/10,595.94
  6. Step 6: Final answer
    x = 8,025.95

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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.