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Finding the Fourth Proportional to 7,828.87, 10,804.52 and 4,292.77

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Solution

The fourth proportional to 7,828.87, 10,804.52 and 4,292.77 is: 5,924.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.87 : 10,804.52 = 4,292.77 : x
  2. Step 2: Convert to fraction form
    7,828.87/10,804.52 = 4,292.77/x
  3. Step 3: Cross multiply
    7,828.87x = 10,804.52 × 4,292.77
  4. Step 4: Simplify right side
    7,828.87x = 46,381,243.83
  5. Step 5: Solve for x
    x = 46,381,243.83/7,828.87
  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.