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Finding the Fourth Proportional to 10,596, 14,622.48 and 5,881.04

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Solution

The fourth proportional to 10,596, 14,622.48 and 5,881.04 is: 8,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596 : 14,622.48 = 5,881.04 : x
  2. Step 2: Convert to fraction form
    10,596/14,622.48 = 5,881.04/x
  3. Step 3: Cross multiply
    10,596x = 14,622.48 × 5,881.04
  4. Step 4: Simplify right side
    10,596x = 85,995,389.78
  5. Step 5: Solve for x
    x = 85,995,389.78/10,596
  6. Step 6: Final answer
    x = 8,115.84

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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.