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Finding the Fourth Proportional to 7,810.59, 10,778.62 and 4,273.80

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Solution

The fourth proportional to 7,810.59, 10,778.62 and 4,273.80 is: 5,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.59 : 10,778.62 = 4,273.80 : x
  2. Step 2: Convert to fraction form
    7,810.59/10,778.62 = 4,273.80/x
  3. Step 3: Cross multiply
    7,810.59x = 10,778.62 × 4,273.80
  4. Step 4: Simplify right side
    7,810.59x = 46,065,714.01
  5. Step 5: Solve for x
    x = 46,065,714.01/7,810.59
  6. Step 6: Final answer
    x = 5,897.85

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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.