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Finding the Fourth Proportional to 10,604.64, 15,911.46 and 5,673

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Solution

The fourth proportional to 10,604.64, 15,911.46 and 5,673 is: 8,511.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.64 : 15,911.46 = 5,673 : x
  2. Step 2: Convert to fraction form
    10,604.64/15,911.46 = 5,673/x
  3. Step 3: Cross multiply
    10,604.64x = 15,911.46 × 5,673
  4. Step 4: Simplify right side
    10,604.64x = 90,265,712.58
  5. Step 5: Solve for x
    x = 90,265,712.58/10,604.64
  6. Step 6: Final answer
    x = 8,511.91

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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.