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Finding the Fourth Proportional to 7,829.60, 10,804.84 and 4,293.05

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Solution

The fourth proportional to 7,829.60, 10,804.84 and 4,293.05 is: 5,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829.60 : 10,804.84 = 4,293.05 : x
  2. Step 2: Convert to fraction form
    7,829.60/10,804.84 = 4,293.05/x
  3. Step 3: Cross multiply
    7,829.60x = 10,804.84 × 4,293.05
  4. Step 4: Simplify right side
    7,829.60x = 46,385,653.61
  5. Step 5: Solve for x
    x = 46,385,653.61/7,829.60
  6. Step 6: Final answer
    x = 5,924.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.