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Finding the Fourth Proportional to 7,833.47, 10,810.20 and 4,296.69

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Solution

The fourth proportional to 7,833.47, 10,810.20 and 4,296.69 is: 5,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.47 : 10,810.20 = 4,296.69 : x
  2. Step 2: Convert to fraction form
    7,833.47/10,810.20 = 4,296.69/x
  3. Step 3: Cross multiply
    7,833.47x = 10,810.20 × 4,296.69
  4. Step 4: Simplify right side
    7,833.47x = 46,448,078.24
  5. Step 5: Solve for x
    x = 46,448,078.24/7,833.47
  6. Step 6: Final answer
    x = 5,929.44

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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.