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Finding the Fourth Proportional to 7,833.50, 10,810.24 and 4,296.84

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Solution

The fourth proportional to 7,833.50, 10,810.24 and 4,296.84 is: 5,929.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.50 : 10,810.24 = 4,296.84 : x
  2. Step 2: Convert to fraction form
    7,833.50/10,810.24 = 4,296.84/x
  3. Step 3: Cross multiply
    7,833.50x = 10,810.24 × 4,296.84
  4. Step 4: Simplify right side
    7,833.50x = 46,449,871.64
  5. Step 5: Solve for x
    x = 46,449,871.64/7,833.50
  6. Step 6: Final answer
    x = 5,929.64

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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.