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Finding the Fourth Proportional to 7,813.38, 10,782.42 and 4,276.59

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Solution

The fourth proportional to 7,813.38, 10,782.42 and 4,276.59 is: 5,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.38 : 10,782.42 = 4,276.59 : x
  2. Step 2: Convert to fraction form
    7,813.38/10,782.42 = 4,276.59/x
  3. Step 3: Cross multiply
    7,813.38x = 10,782.42 × 4,276.59
  4. Step 4: Simplify right side
    7,813.38x = 46,111,989.55
  5. Step 5: Solve for x
    x = 46,111,989.55/7,813.38
  6. Step 6: Final answer
    x = 5,901.67

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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.