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Finding the Fourth Proportional to 7,742, 10,683.56 and 4,205.12

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Solution

The fourth proportional to 7,742, 10,683.56 and 4,205.12 is: 5,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742 : 10,683.56 = 4,205.12 : x
  2. Step 2: Convert to fraction form
    7,742/10,683.56 = 4,205.12/x
  3. Step 3: Cross multiply
    7,742x = 10,683.56 × 4,205.12
  4. Step 4: Simplify right side
    7,742x = 44,925,651.83
  5. Step 5: Solve for x
    x = 44,925,651.83/7,742
  6. Step 6: Final answer
    x = 5,802.85

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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.