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Finding the Fourth Proportional to 10,596, 14,621.76 and 5,880.48

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Solution

The fourth proportional to 10,596, 14,621.76 and 5,880.48 is: 8,114.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596 : 14,621.76 = 5,880.48 : x
  2. Step 2: Convert to fraction form
    10,596/14,621.76 = 5,880.48/x
  3. Step 3: Cross multiply
    10,596x = 14,621.76 × 5,880.48
  4. Step 4: Simplify right side
    10,596x = 85,982,967.24
  5. Step 5: Solve for x
    x = 85,982,967.24/10,596
  6. Step 6: Final answer
    x = 8,114.66

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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.