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Finding the Fourth Proportional to 7,810.80, 10,778.76 and 4,273.94

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Solution

The fourth proportional to 7,810.80, 10,778.76 and 4,273.94 is: 5,897.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.80 : 10,778.76 = 4,273.94 : x
  2. Step 2: Convert to fraction form
    7,810.80/10,778.76 = 4,273.94/x
  3. Step 3: Cross multiply
    7,810.80x = 10,778.76 × 4,273.94
  4. Step 4: Simplify right side
    7,810.80x = 46,067,773.51
  5. Step 5: Solve for x
    x = 46,067,773.51/7,810.80
  6. Step 6: Final answer
    x = 5,897.96

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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.