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Finding the Fourth Proportional to 7,840.83, 10,820.30 and 4,303.96

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Solution

The fourth proportional to 7,840.83, 10,820.30 and 4,303.96 is: 5,939.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.83 : 10,820.30 = 4,303.96 : x
  2. Step 2: Convert to fraction form
    7,840.83/10,820.30 = 4,303.96/x
  3. Step 3: Cross multiply
    7,840.83x = 10,820.30 × 4,303.96
  4. Step 4: Simplify right side
    7,840.83x = 46,570,116.87
  5. Step 5: Solve for x
    x = 46,570,116.87/7,840.83
  6. Step 6: Final answer
    x = 5,939.44

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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.