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Finding the Fourth Proportional to 7,828.80, 10,803.57 and 4,843.86

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Solution

The fourth proportional to 7,828.80, 10,803.57 and 4,843.86 is: 6,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.80 : 10,803.57 = 4,843.86 : x
  2. Step 2: Convert to fraction form
    7,828.80/10,803.57 = 4,843.86/x
  3. Step 3: Cross multiply
    7,828.80x = 10,803.57 × 4,843.86
  4. Step 4: Simplify right side
    7,828.80x = 52,330,980.58
  5. Step 5: Solve for x
    x = 52,330,980.58/7,828.80
  6. Step 6: Final answer
    x = 6,684.42

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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.