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Finding the Fourth Proportional to 7,829.52, 10,804.74 and 4,292.96

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Solution

The fourth proportional to 7,829.52, 10,804.74 and 4,292.96 is: 5,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.52 : 10,804.74 = 4,292.96 : x
  2. Step 2: Convert to fraction form
    7,829.52/10,804.74 = 4,292.96/x
  3. Step 3: Cross multiply
    7,829.52x = 10,804.74 × 4,292.96
  4. Step 4: Simplify right side
    7,829.52x = 46,384,316.63
  5. Step 5: Solve for x
    x = 46,384,316.63/7,829.52
  6. Step 6: Final answer
    x = 5,924.29

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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.