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Finding the Fourth Proportional to 7,813.30, 10,782.21 and 4,276.42

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Solution

The fourth proportional to 7,813.30, 10,782.21 and 4,276.42 is: 5,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.30 : 10,782.21 = 4,276.42 : x
  2. Step 2: Convert to fraction form
    7,813.30/10,782.21 = 4,276.42/x
  3. Step 3: Cross multiply
    7,813.30x = 10,782.21 × 4,276.42
  4. Step 4: Simplify right side
    7,813.30x = 46,109,258.49
  5. Step 5: Solve for x
    x = 46,109,258.49/7,813.30
  6. Step 6: Final answer
    x = 5,901.38

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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.