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Finding the Fourth Proportional to 7,813.68, 10,782.78 and 4,276.85

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Solution

The fourth proportional to 7,813.68, 10,782.78 and 4,276.85 is: 5,902.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.68 : 10,782.78 = 4,276.85 : x
  2. Step 2: Convert to fraction form
    7,813.68/10,782.78 = 4,276.85/x
  3. Step 3: Cross multiply
    7,813.68x = 10,782.78 × 4,276.85
  4. Step 4: Simplify right side
    7,813.68x = 46,116,332.64
  5. Step 5: Solve for x
    x = 46,116,332.64/7,813.68
  6. Step 6: Final answer
    x = 5,902.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.