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Finding the Fourth Proportional to 7,833.11, 10,809.84 and 4,296.50

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Solution

The fourth proportional to 7,833.11, 10,809.84 and 4,296.50 is: 5,929.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.11 : 10,809.84 = 4,296.50 : x
  2. Step 2: Convert to fraction form
    7,833.11/10,809.84 = 4,296.50/x
  3. Step 3: Cross multiply
    7,833.11x = 10,809.84 × 4,296.50
  4. Step 4: Simplify right side
    7,833.11x = 46,444,477.56
  5. Step 5: Solve for x
    x = 46,444,477.56/7,833.11
  6. Step 6: Final answer
    x = 5,929.25

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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.