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Finding the Fourth Proportional to 7,742, 10,684.16 and 4,205.21

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Solution

The fourth proportional to 7,742, 10,684.16 and 4,205.21 is: 5,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742 : 10,684.16 = 4,205.21 : x
  2. Step 2: Convert to fraction form
    7,742/10,684.16 = 4,205.21/x
  3. Step 3: Cross multiply
    7,742x = 10,684.16 × 4,205.21
  4. Step 4: Simplify right side
    7,742x = 44,929,115.45
  5. Step 5: Solve for x
    x = 44,929,115.45/7,742
  6. Step 6: Final answer
    x = 5,803.30

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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.