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Finding the Fourth Proportional to 7,813.54, 10,782.57 and 4,276.66

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Solution

The fourth proportional to 7,813.54, 10,782.57 and 4,276.66 is: 5,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.54 : 10,782.57 = 4,276.66 : x
  2. Step 2: Convert to fraction form
    7,813.54/10,782.57 = 4,276.66/x
  3. Step 3: Cross multiply
    7,813.54x = 10,782.57 × 4,276.66
  4. Step 4: Simplify right side
    7,813.54x = 46,113,385.82
  5. Step 5: Solve for x
    x = 46,113,385.82/7,813.54
  6. Step 6: Final answer
    x = 5,901.73

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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.